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Volumn 9, Issue 4-5, 1998, Pages 531-545

Classical roots of knot theory

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; GRAPH THEORY;

EID: 0032047473     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00107-0     Document Type: Article
Times cited : (16)

References (109)
  • 3
    • 0003622025 scopus 로고
    • The history of combinatorial group theory: A case study in the history of ideas
    • Springer, New York
    • 3. Chandler, B. and Magnus, W., The History of Combinatorial Group Theory: A Case Study in the History of Ideas. Studies in the History of Mathematics and Physical Sciences, Vol. 9, Springer, New York, 1982.
    • (1982) Studies in the History of Mathematics and Physical Sciences , vol.9
    • Chandler, B.1    Magnus, W.2
  • 6
    • 0041185552 scopus 로고
    • Classical topology and combinatorial group theory
    • Springer, New York
    • 6. Stillwell, J., Classical Topology and Combinatorial Group Theory. Graduate Texts in Mathematics. Vol. 72, Springer, New York, 1980.
    • (1980) Graduate Texts in Mathematics , vol.72
    • Stillwell, J.1
  • 10
  • 14
    • 4243460601 scopus 로고    scopus 로고
    • in the 10th volume of Gauss' collected works
    • 14. Stäckel, P., Gauss als Geometer, in the 10th volume of Gauss' collected works.
    • Gauss als Geometer
    • Stäckel, P.1
  • 18
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • 18. Witten, E., Quantum field theory and the Jones polynomial. Comm. Math. Phys., 1989. 121, 351-399.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1
  • 23
    • 0039406224 scopus 로고
    • Topologische betrachtungen
    • 23. Brunn, H., Topologische Betrachtungen. Z. Math. Phys. 1892, 37, 106-116.
    • (1892) Z. Math. Phys. , vol.37 , pp. 106-116
    • Brunn, H.1
  • 24
    • 0011232930 scopus 로고
    • On knots I, II, III
    • Cambridge University Press
    • 24. Tait, P. G., On knots I, II, III. In Scientific Papers. Cambridge University Press, 1898-1900. Including Trans. Roy. Soc. Edinburgh, 1877, 28, 35-79. Reprinted by Amphion Press, Washington, DC, 1993.
    • (1898) Scientific Papers
    • Tait, P.G.1
  • 25
    • 0041185549 scopus 로고
    • Reprinted by Amphion Press, Washington, DC, 1993
    • 24. Tait, P. G., On knots I, II, III. In Scientific Papers. Cambridge University Press, 1898-1900. Including Trans. Roy. Soc. Edinburgh, 1877, 28, 35-79. Reprinted by Amphion Press, Washington, DC, 1993.
    • (1877) Trans. Roy. Soc. Edinburgh , vol.28 , pp. 35-79
  • 26
    • 4944257625 scopus 로고
    • Über die Auflosung der gleichungen, auf welche man bei der untersuchung der linearen Vertheilung galvanischer strome geführt wird
    • 25. Kirchhoff, G. R., Über die Auflosung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer strome geführt wird. Ann. Phys. Chem. 1847, 72, 497-508.
    • (1847) Ann. Phys. Chem. , vol.72 , pp. 497-508
    • Kirchhoff, G.R.1
  • 27
    • 0003198175 scopus 로고
    • Göttinger Studien (Abteilung 1)
    • 26. Listing, J. B., Vorstudien zur Topologie. Göttinger Studien (Abteilung 1), Vol. 1, 1847, pp. 811-875.
    • (1847) Vorstudien zur Topologie , vol.1 , pp. 811-875
    • Listing, J.B.1
  • 28
    • 0041184274 scopus 로고
    • Gauss und listing: Topologie und freundschaft
    • 27. Breitenberger, E., Gauss und Listing: Topologie und Freundschaft (in German). Gauss-Ges. Göttingen Mitt., 1993, 30, 3-56.
    • (1993) Gauss-Ges. Göttingen Mitt. , vol.30 , pp. 3-56
    • Breitenberger, E.1
  • 29
    • 84974151829 scopus 로고
    • Non-alternate ± knots
    • for the session 1898-89 read July 3
    • 28. Little, C. N., Non-alternate ± knots. Trans. Roy. Soc. Edinburgh, XXXIX, Part III (No. 30), for the session 1898-89 (read July 3, 1899), 771-778.
    • (1899) Trans. Roy. Soc. Edinburgh , vol.39 , Issue.30 PART III , pp. 771-778
    • Little, C.N.1
  • 30
    • 0003950920 scopus 로고
    • supplementing the two volumes of scientific papers published in 1898 and 1900. Cambridge University Press
    • 29. Knott, C. G., Life and Scientific Work of Peter Guthrie Tait, supplementing the two volumes of scientific papers published in 1898 and 1900. Cambridge University Press, 1911.
    • (1911) Life and Scientific Work of Peter Guthrie Tait
    • Knott, C.G.1
  • 31
    • 84943471869 scopus 로고
    • Über integrale der hydrodynamischen gleichungen, welche den wirbelbewegungen entsprechen
    • 30. Helmholtz, H., Über Integrale der hydrodynamischen Gleichungen, Welche den Wirbelbewegungen entsprechen, Crelle's Journal für Mathematik, 1858. 55, 25-55: English translation by P. G. Tait, Philosophical Magazine, June 1867, 485-511.
    • (1858) Crelle's Journal für Mathematik , vol.55 , pp. 25-55
    • Helmholtz, H.1
  • 32
    • 84943471869 scopus 로고
    • June
    • 30. Helmholtz, H., Über Integrale der hydrodynamischen Gleichungen, Welche den Wirbelbewegungen entsprechen, Crelle's Journal für Mathematik, 1858. 55, 25-55: English translation by P. G. Tait, Philosophical Magazine, June 1867, 485-511.
    • (1867) Philosophical Magazine , pp. 485-511
    • Tait, P.G.1
  • 33
    • 84958472051 scopus 로고
    • On vortex motion
    • 31. Thomson, W. H., On vortex motion, Trans. Roy. Soc. Edinburgh. 1867, 25, 217-260. See also Proc. Roy. Soc. Edinburgh, February 1867.
    • (1867) Trans. Roy. Soc. Edinburgh. , vol.25 , pp. 217-260
    • Thomson, W.H.1
  • 34
    • 84958472051 scopus 로고
    • February
    • 31. Thomson, W. H., On vortex motion, Trans. Roy. Soc. Edinburgh. 1867, 25, 217-260. See also Proc. Roy. Soc. Edinburgh, February 1867.
    • (1867) Proc. Roy. Soc. Edinburgh
  • 35
    • 0007378438 scopus 로고    scopus 로고
    • The modern legacies of Thomson's atomic vortex theory in classical electrodynamics
    • 32. Lomonaco, S. L., The modern legacies of Thomson's atomic vortex theory in classical electrodynamics. Proc. Sympos. Appl. Math., 1996. 51, 145-166.
    • (1996) Proc. Sympos. Appl. Math. , vol.51 , pp. 145-166
    • Lomonaco, S.L.1
  • 36
    • 0039997027 scopus 로고
    • Some elementary properties of closed plane curves
    • (communicated at the 1876 meeting of the British Association). Reprinted in Scientific Papers of P. G. Tait
    • 33. Tait, P. G., Some elementary properties of closed plane curves. Messenger of Mathematics, New Series, 69, 1877 (communicated at the 1876 meeting of the British Association). Reprinted in Scientific Papers of P. G. Tait, pp. 270-272.
    • (1877) Messenger of Mathematics, New Series , vol.69 , pp. 270-272
    • Tait, P.G.1
  • 37
    • 33747128873 scopus 로고
    • Johann Benedict listing
    • February 1, Reprinted in Scientific Papers of P. G. Tait
    • 34. Tait, P. G., Johann Benedict Listing. Nature, February 1, 1883. Reprinted in Scientific Papers of P. G. Tait.
    • (1883) Nature
    • Tait, P.G.1
  • 38
    • 0039797425 scopus 로고
    • Listing's topologie
    • Introductory address to the Edinburgh Mathematical Society, November 9, 1883. January, Reprinted in Scientific Papers of P. G. Tait
    • 35. Tait, P. G., Listing's Topologie (Introductory address to the Edinburgh Mathematical Society, November 9, 1883). Philosophical Magazine, January, 1884. Reprinted in Scientific Papers of P. G. Tait.
    • (1884) Philosophical Magazine
    • Tait, P.G.1
  • 41
    • 0001311145 scopus 로고
    • Über die torsionszahlen der alternierenden knoten
    • 38. Bankwitz, C., Über die Torsionszahlen der alternierenden Knoten. Math. Ann., 1930, 103, 145-161.
    • (1930) Math. Ann. , vol.103 , pp. 145-161
    • Bankwitz, C.1
  • 44
    • 0040140782 scopus 로고
    • The enumeration description and construction of knots with fewer than 10 crossing
    • 41. Kirkman, T. P., The enumeration description and construction of knots with fewer than 10 crossing. Trans. Roy. Soc. Edinburgh 1885, 32, 281-309.
    • (1885) Trans. Roy. Soc. Edinburgh , vol.32 , pp. 281-309
    • Kirkman, T.P.1
  • 45
    • 0040140787 scopus 로고
    • On knots, with a census for order 10
    • also Ph.D. thesis, Yale University, 1885 (see Ref. [101])
    • 42. Little, C. N., On knots, with a census for order 10. Trans. Connecticut Acad. Sci., 1885, 18, 374-378; also Ph.D. thesis, Yale University, 1885 (see Ref. [101]).
    • (1885) Trans. Connecticut Acad. Sci. , vol.18 , pp. 374-378
    • Little, C.N.1
  • 46
    • 0039549425 scopus 로고
    • On knots, with a census of the amphicheirals with twelve crossings
    • also Ph.D. thesis, Bryn Mawr College, 1918 (see Ref. [101])
    • 43. Haseman, M. G., On knots, with a census of the amphicheirals with twelve crossings. Trans. Roy. Soc. Edinburgh, 1918, 52, 235-255; also Ph.D. thesis, Bryn Mawr College, 1918 (see Ref. [101]).
    • (1918) Trans. Roy. Soc. Edinburgh , vol.52 , pp. 235-255
    • Haseman, M.G.1
  • 47
    • 0002273208 scopus 로고
    • An enumeration of knots and links
    • (ed. J. Leech). Pergamon Press, Oxford
    • 44. Conway, J. H., An enumeration of knots and links. In Computational Problems in Abstract Algebra (ed. J. Leech). Pergamon Press, Oxford, 1969, pp. 329-358.
    • (1969) Computational Problems in Abstract Algebra , pp. 329-358
    • Conway, J.H.1
  • 48
    • 84966211908 scopus 로고
    • On the classification of knots
    • 45. Perko, K. A. Jr., On the classification of knots. Proc. Amer. Math. Soc., 1974, 45, 262-266.
    • (1974) Proc. Amer. Math. Soc. , vol.45 , pp. 262-266
    • Perko K.A., Jr.1
  • 49
    • 0040140780 scopus 로고
    • Primality of certain knots
    • 46. Perko, K. A., Primality of certain knots. Topology Proc., 1982, 7, 109-118.
    • (1982) Topology Proc. , vol.7 , pp. 109-118
    • Perko, K.A.1
  • 50
    • 0002017747 scopus 로고
    • Classification of knot projections
    • 47. Dowker, C. H. and Thistlethwaite, M. B., Classification of knot projections. Topology Appl., 1983, 16, 19-31.
    • (1983) Topology Appl. , vol.16 , pp. 19-31
    • Dowker, C.H.1    Thistlethwaite, M.B.2
  • 51
    • 0011050652 scopus 로고
    • Knot tabulations and related topics
    • Aspects of Topology, London Mathematical Society
    • 48. Thistlethwaite, M. B., Knot tabulations and related topics. In Aspects of Topology, Lecture Notes Series, Vol. 93, London Mathematical Society, 1985, pp. 1-76.
    • (1985) Lecture Notes Series , vol.93 , pp. 1-76
    • Thistlethwaite, M.B.1
  • 52
    • 0041184272 scopus 로고    scopus 로고
    • e-mails, 2 and 7 September 1993, and 9 June 1994
    • 49. Hoste, J., e-mails, 2 and 7 September 1993, and 9 June 1994.
    • Hoste, J.1
  • 53
    • 0040590264 scopus 로고    scopus 로고
    • e-mail, 16 February 1997
    • 50. Thistlethwaite, M. B., e-mail, 16 February 1997.
    • Thistlethwaite, M.B.1
  • 54
    • 0542399962 scopus 로고
    • Jones' polynomials and classical conjectures in knot theory
    • 51. Murasugi, K., Jones' polynomials and classical conjectures in knot theory. Topology, 1987, 26, 187-194.
    • (1987) Topology , vol.26 , pp. 187-194
    • Murasugi, K.1
  • 55
    • 0001618159 scopus 로고
    • A spanning tree expansion of the Jones polynomial
    • 52. Thistlethwaite, M. B., A spanning tree expansion of the Jones polynomial. Topology, 1987, 26, 297-309.
    • (1987) Topology , vol.26 , pp. 297-309
    • Thistlethwaite, M.B.1
  • 56
    • 0000282829 scopus 로고
    • State models and the Jones polynomial
    • 53. Kauffman, L., State models and the Jones polynomial. Topology, 1987, 26, 395-407.
    • (1987) Topology , vol.26 , pp. 395-407
    • Kauffman, L.1
  • 58
    • 0000300224 scopus 로고
    • The classification of alternating links
    • 55. Menasco, W. M. and Thistlethwaite, M. B., The classification of alternating links. Ann. of Math., 1993, 138, 113-171.
    • (1993) Ann. of Math. , vol.138 , pp. 113-171
    • Menasco, W.M.1    Thistlethwaite, M.B.2
  • 59
    • 0040590256 scopus 로고
    • Analysid situs
    • Leipzig
    • 56. Dehn, M. and Heegaard, P., Analysid situs. Encykl. Math. Wiss., Vol. III, AB3, Leipzig, 1907, pp. 153-220.
    • (1907) Encykl. Math. Wiss. , vol.3 AB3 , pp. 153-220
    • Dehn, M.1    Heegaard, P.2
  • 60
    • 0039997026 scopus 로고
    • Max Dehn
    • 57. Magnus, W., Max Dehn. Math. Intelligencer, 1978, 1, 132-143; also in Wilhelm Magnus Collected Papers, ed. G. Baumslag and B. Chandler. Springer, 1984.
    • (1978) Math. Intelligencer , vol.1 , pp. 132-143
    • Magnus, W.1
  • 63
    • 0039405063 scopus 로고
    • Über eine reihe neuer Thatsachen aus dem gebiete der topologie
    • 59. Simony, O., Über eine Reihe neuer Thatsachen aus dem Gebiete der Topologie. Math. Ann., 1882, 19, 110-120; and 1884, 24, 253-280.
    • (1882) Math. Ann. , vol.19 , pp. 110-120
    • Simony, O.1
  • 64
    • 0041184268 scopus 로고
    • 59. Simony, O., Über eine Reihe neuer Thatsachen aus dem Gebiete der Topologie. Math. Ann., 1882, 19, 110-120; and 1884, 24, 253-280.
    • (1884) Math. Ann. , vol.24 , pp. 253-280
  • 65
    • 0040590253 scopus 로고
    • Über Simony-Knoten und Simony-Ketten mit vorgeschriebenen singulären Primzahlen für die figur und für ihr spiegelbild
    • 60. Tietze, H., Über Simony-Knoten und Simony-Ketten mit vorgeschriebenen singulären Primzahlen für die Figur und für ihr Spiegelbild. Math. Z., 1943, 49, 351-369.
    • (1943) Math. Z. , vol.49 , pp. 351-369
    • Tietze, H.1
  • 67
    • 0040857523 scopus 로고
    • Forstudier til en topologisk teori for de algebraiske fladers sammenhæng, København, 1898
    • Filosofiske Doktorgrad; French translation: Sur l'Analysis situs
    • 62. Heegaard, P., Forstudier til en Topologisk Teori for de algebraiske Fladers Sammenhæng, København, 1898, Filosofiske Doktorgrad; French translation: Sur l'Analysis situs, Bull. Soc. Math. France, 1916, 44, 161-242.
    • (1916) Bull. Soc. Math. France , vol.44 , pp. 161-242
    • Heegaard, P.1
  • 68
    • 0039997022 scopus 로고
    • with the translation of the topological part of Poul Heegaard Dissertation: Forstudier til en topologisk teori for de algebraiske fladers sammenh[ae]ng, København 1898, Filosofisk Doktorgrad (Preliminary studies towards the topological theory of connectivity of algebraic surfaces), by A.H. Przybyszewska, Preprint 43, Odense University
    • 63. Przytycki, J. H., Knot Theory from Vandermonde to Jones, with the translation of the topological part of Poul Heegaard Dissertation: Forstudier til en topologisk teori for de algebraiske fladers sammenh[ae]ng, København 1898, Filosofisk Doktorgrad (Preliminary studies towards the topological theory of connectivity of algebraic surfaces), by A.H. Przybyszewska, Preprint 43, Odense University, 1993.
    • (1993) Knot Theory from Vandermonde to Jones
    • Przytycki, J.H.1
  • 69
    • 34347193785 scopus 로고
    • Über die topologischen invarianten mehrdimensionaler mannigfaltigkeiten
    • 64. Tietze, H., Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten. Monatsh. Math. Phys., 1908, 19, 1-118.
    • (1908) Monatsh. Math. Phys. , vol.19 , pp. 1-118
    • Tietze, H.1
  • 70
    • 0001813901 scopus 로고
    • Über Riemannsche Flächen mit gegebenen verzweigung spunkten
    • 65. Hurwitz, A., Über Riemannsche Flächen mit gegebenen Verzweigung spunkten. Math. Ann. 1891, 39, 1-61.
    • (1891) Math. Ann. , vol.39 , pp. 1-61
    • Hurwitz, A.1
  • 71
    • 0039997020 scopus 로고
    • Über die verzweigungen bei funktionen von zwei Veränderlichen
    • The title of the talk supposedly given on 26 September 1905 at the annual meeting of the German Mathematical Society in Meran
    • 66. Wirtinger, W., Über die Verzweigungen bei Funktionen von zwei Veränderlichen, Jahresber. Deutsch. Math.-Verein., 1905, 14, 517. (The title of the talk supposedly given on 26 September 1905 at the annual meeting of the German Mathematical Society in Meran.)
    • (1905) Jahresber. Deutsch. Math.-Verein. , vol.14 , pp. 517
    • Wirtinger, W.1
  • 72
    • 0000376243 scopus 로고
    • Über die topologie des dreidimensionalen raumes
    • 67. Dehn, M., Über die Topologie des dreidimensionalen Raumes. Math. Ann., 1910, 69, 137-168.
    • (1910) Math. Ann. , vol.69 , pp. 137-168
    • Dehn, M.1
  • 73
    • 0038956553 scopus 로고
    • Die beiden kleeblattschlingen
    • 68. Dehn, M., Die beiden Kleeblattschlingen. Math. Ann., 1914, 75, 1-12.
    • (1914) Math. Ann. , vol.75 , pp. 1-12
    • Dehn, M.1
  • 75
    • 0002741878 scopus 로고
    • A determinant formula for the number of ways of coloring a map
    • 70. Birkhoff, G. D., A determinant formula for the number of ways of coloring a map. Ann. of Math., 1912, 2, 14 42-46.
    • (1912) Ann. of Math. , vol.2 , Issue.14 , pp. 42-46
    • Birkhoff, G.D.1
  • 76
    • 0642361805 scopus 로고
    • Topological invariants of knots and links
    • 71. Alexander, J. W., Topological invariants of knots and links. Trans. Amer. Math. Soc., 1928, 30, 275-306.
    • (1928) Trans. Amer. Math. Soc. , vol.30 , pp. 275-306
    • Alexander, J.W.1
  • 77
    • 0009186908 scopus 로고
    • Fifty years of American mathematics
    • 72. Birkhoff, G. D., Fifty years of American Mathematics, Amer. Math. Soc. Semicentennial Addresses, Vol. 2, 1938, 270-315. Also in George David Birkhoff Collected Mathematical Papers, Vol. 3, American Mathematical Society, 1950, pp. 606-651.
    • (1938) Amer. Math. Soc. Semicentennial Addresses , vol.2 , pp. 270-315
    • Birkhoff, G.D.1
  • 78
    • 0041184269 scopus 로고
    • American Mathematical Society
    • 72. Birkhoff, G. D., Fifty years of American Mathematics, Amer. Math. Soc. Semicentennial Addresses, Vol. 2, 1938, 270-315. Also in George David Birkhoff Collected Mathematical Papers, Vol. 3, American Mathematical Society, 1950, pp. 606-651.
    • (1950) George David Birkhoff Collected Mathematical Papers , vol.3 , pp. 606-651
  • 80
    • 84968491346 scopus 로고
    • Knots are determined by their complements
    • 74. Gordon, C. M. and Luecke, J., Knots are determined by their complements. Bull. Amer. Math. Soc., 1989, 20, 83-87.
    • (1989) Bull. Amer. Math. Soc. , vol.20 , pp. 83-87
    • Gordon, C.M.1    Luecke, J.2
  • 81
    • 0002659320 scopus 로고
    • A quick trip through knot theory
    • Top. 3-manifolds, ed. M. K. Fort, Jr. Prentice-Hall, Englewood Cliffs, NJ
    • 75. Fox, R. H., A quick trip through knot theory. In Top. 3-manifolds, Proc. 1961 Top. Inst. Univ. Georgia, ed. M. K. Fort, Jr. Prentice-Hall, Englewood Cliffs, NJ, 1962, pp. 120-167.
    • (1962) Proc. 1961 Top. Inst. Univ. Georgia , pp. 120-167
    • Fox, R.H.1
  • 82
    • 0002796470 scopus 로고
    • Some aspects of classical knot theory
    • L.N.M.
    • 76. Gordon, C. McA., Some aspects of classical knot theory. In Knot Theory, L.N.M. Vol. 685, 1978, pp. 1-60.
    • (1978) Knot Theory , vol.685 , pp. 1-60
    • Gordon, C.Mc.A.1
  • 83
    • 0003316111 scopus 로고
    • Braids, links and mapping class groups
    • Princeton Univ. Press, Princeton, NJ
    • 77. Birman, J. S., Braids, Links and Mapping Class Groups. Ann. Math. Studies, Vol. 82, Princeton Univ. Press, Princeton, NJ, 1974.
    • (1974) Ann. Math. Studies , vol.82
    • Birman, J.S.1
  • 85
    • 0004237427 scopus 로고
    • Princeton University Press
    • 79. Kauffman, L., On Knots. Princeton University Press, 1987.
    • (1987) On Knots
    • Kauffman, L.1
  • 86
    • 0003369033 scopus 로고
    • Knotentheorie
    • Springer, Berlin
    • 80. Reidemeister, K., Knotentheorie. Ergebn. Math. Grenzgeb. Bd. 1, Springer, Berlin, 1932; English translation: Knot Theory. BSC Associates. Moscow, Idaho, 1983.
    • (1932) Ergebn. Math. Grenzgeb. , vol.1
    • Reidemeister, K.1
  • 87
    • 0003449615 scopus 로고
    • BSC Associates. Moscow, Idaho
    • 80. Reidemeister, K., Knotentheorie. Ergebn. Math. Grenzgeb. Bd. 1, Springer, Berlin, 1932; English translation: Knot Theory. BSC Associates. Moscow, Idaho, 1983.
    • (1983) Knot Theory
  • 89
    • 0000217456 scopus 로고
    • The coloring of graphs
    • 82. Whitney, H., The coloring of graphs. Ann. of Math., 1932, 33, 688-718.
    • (1932) Ann. of Math. , vol.33 , pp. 688-718
    • Whitney, H.1
  • 90
    • 0041184260 scopus 로고
    • On the polynomial expressions for the number of ways of coloring a map
    • 83. Birkhoff, G. D., On the polynomial expressions for the number of ways of coloring a map, Ann. Scuola Norm. Sup. Pisa (2), 1934. 3, 85-104. Also in George David Birkhoff Collected Mathematical Papers, Vol. 3, American Mathematical Society, 1950, pp. 29-47.
    • (1934) Ann. Scuola Norm. Sup. Pisa , vol.3 , Issue.2 , pp. 85-104
    • Birkhoff, G.D.1
  • 91
    • 0039997021 scopus 로고
    • American Mathematical Society
    • 83. Birkhoff, G. D., On the polynomial expressions for the number of ways of coloring a map, Ann. Scuola Norm. Sup. Pisa (2), 1934. 3, 85-104. Also in George David Birkhoff Collected Mathematical Papers, Vol. 3, American Mathematical Society, 1950, pp. 29-47.
    • (1950) George David Birkhoff Collected Mathematical Papers , vol.3 , pp. 29-47
  • 92
    • 0039405065 scopus 로고
    • Letter to J. Birman, May
    • 84. Jones, V., Letter to J. Birman, May 1984.
    • (1984)
    • Jones, V.1
  • 93
    • 84968518084 scopus 로고
    • A polynomial invariant for knots via Von Neumann algebras
    • 85. Jones, V., A polynomial invariant for knots via Von Neumann algebras. Bull. Amer. Math. Soc., 1985, 12, 103-111.
    • (1985) Bull. Amer. Math. Soc. , vol.12 , pp. 103-111
    • Jones, V.1
  • 94
    • 0001665177 scopus 로고
    • Hecke algebra representations of braid groups and link polynomials
    • 86. Jones, V., Hecke algebra representations of braid groups and link polynomials, Ann. of Math., 1987, 335-388.
    • (1987) Ann. of Math. , pp. 335-388
    • Jones, V.1
  • 95
    • 0003286958 scopus 로고
    • Knot theory and statistical mechanics
    • 87. Jones, V., Knot theory and statistical mechanics. Scientific American, 1990, 262, 11 98-103.
    • (1990) Scientific American , vol.262 , Issue.11 , pp. 98-103
    • Jones, V.1
  • 97
    • 0000412299 scopus 로고
    • Invariants of links of Conway type
    • 89. Przytycki, J. H. and Traczyk, P., Invariants of links of Conway type. Kobe J. Math., 1987, 4, 115-139.
    • (1987) Kobe J. Math. , vol.4 , pp. 115-139
    • Przytycki, J.H.1    Traczyk, P.2
  • 98
    • 84966251735 scopus 로고
    • An invariant of regular isotopy
    • 90. Kauffman, L., An invariant of regular isotopy. Trans. Amer, Math. Soc., 1990, 318, 2 417-471.
    • (1990) Trans. Amer, Math. Soc. , vol.318 , Issue.2 , pp. 417-471
    • Kauffman, L.1
  • 99
    • 0001573357 scopus 로고
    • A polynomial invariant for unoriented knots and links
    • 91. Brandt, R. D., Lickorish, W. B. R. and Millett, K. C., A polynomial invariant for unoriented knots and links. Invent. Math., 1986, 84, 563-573.
    • (1986) Invent. Math. , vol.84 , pp. 563-573
    • Brandt, R.D.1    Lickorish, W.B.R.2    Millett, K.C.3
  • 100
    • 0000783279 scopus 로고
    • A new polynomial for knots and links: Preliminary report
    • 92. Ho, C. F., A new polynomial for knots and links: preliminary report. Abstracts Amer. Math. Soc., 1985, 6, 4 300
    • (1985) Abstracts Amer. Math. Soc. , vol.6 , Issue.4 , pp. 300
    • Ho, C.F.1
  • 102
    • 0002869173 scopus 로고
    • Skein modules of 3-manifolds
    • 94. Przytycki, J. H., Skein modules of 3-manifolds. Bull. Polish Acad. Sci., 1991, 39, 1/2 91-100.
    • (1991) Bull. Polish Acad. Sci. , vol.39 , Issue.1-2 , pp. 91-100
    • Przytycki, J.H.1
  • 103
    • 0002274039 scopus 로고
    • The Conway and Kauffman modules of the solid torus
    • English translation in J. Soviet Math.
    • 95. Turaev, V. G., The Conway and Kauffman modules of the solid torus. Zap. Nauchn. Sem. Lomi, 1988, 167, 79-89. English translation in J. Soviet Math.
    • (1988) Zap. Nauchn. Sem. Lomi , vol.167 , pp. 79-89
    • Turaev, V.G.1
  • 104
    • 0542373499 scopus 로고
    • Invariants of three manifolds via link polynomials and quantum groups
    • 96. Reshetikhin, N. Y. and Turaev, V., Invariants of three manifolds via link polynomials and quantum groups. Invent. Math., 1991, 103, 547-597.
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Reshetikhin, N.Y.1    Turaev, V.2
  • 105
    • 44049114062 scopus 로고
    • State sum invariants of 3-manifolds and quantum 6j-symbols
    • 97. Turaev, V. G. and Viro, O. Y., State sum invariants of 3-manifolds and quantum 6j-symbols. Topology, 1992, 31, 865-902.
    • (1992) Topology , vol.31 , pp. 865-902
    • Turaev, V.G.1    Viro, O.Y.2
  • 106
    • 0000316102 scopus 로고
    • Quantum invariants of 3-manifolds associated with classical simple Lie algebras
    • 98. Turaev, V. G. and Wenzl, H., Quantum invariants of 3-manifolds associated with classical simple Lie algebras. Internat. J. Math., 1993, 4, 2 323-358.
    • (1993) Internat. J. Math. , vol.4 , Issue.2 , pp. 323-358
    • Turaev, V.G.1    Wenzl, H.2
  • 107
    • 0002084723 scopus 로고    scopus 로고
    • Algebraic topology based on knots: An introduction
    • ed. Shin'ichi Suzuki. World Scientific Publishing Co.
    • 99. Przytycki, J. H., Algebraic topology based on knots: an introduction. In Proceedings of Knots 96, ed. Shin'ichi Suzuki. World Scientific Publishing Co., 1997, pp. 279-297.
    • (1997) Proceedings of Knots , vol.96 , pp. 279-297
    • Przytycki, J.H.1
  • 109
    • 0041184259 scopus 로고
    • Comprehensive dissertation index, 1861-1972
    • Xerox University Microfilms, Ann Arbor, Michigan
    • 101. Comprehensive Dissertation Index, 1861-1972, Mathematics and Statistics, Vol. 5. Xerox University Microfilms, Ann Arbor, Michigan, 1973.
    • (1973) Mathematics and Statistics , vol.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.