메뉴 건너뛰기




Volumn 4, Issue 2, 1998, Pages 183-212

On associators and the Grothendieck-Teichmuller group, i

Author keywords

Associator; Braids; Grothendieck teichmuller; Pentagon

Indexed keywords


EID: 54649083054     PISSN: 10221824     EISSN: 14209020     Source Type: Journal    
DOI: 10.1007/s000290050029     Document Type: Article
Times cited : (75)

References (34)
  • 1
    • 0000970787 scopus 로고
    • On the Vassiliev knot invariants
    • [B-N1]
    • [B-N1] D. Bar-Natan. On the Vassiliev knot invariants. Topology 34 (1995), 423-472.
    • (1995) Topology , vol.34 , pp. 423-472
    • Bar-Natan, D.1
  • 4
    • 0009888856 scopus 로고    scopus 로고
    • Vassiliev and quantum invariants of braids
    • [B-N4] The interface of knots and physics (L. H. Kauffman, ed.), Amer. Math. Soc., Providence
    • [B-N4] D. Bar-Natan. Vassiliev and quantum invariants of braids. In: Proc. of Symp. in Appl. Math. 51 (1996), 129-144, The interface of knots and physics (L. H. Kauffman, ed.), Amer. Math. Soc., Providence.
    • (1996) Proc. of Symp. in Appl. Math. , vol.51 , pp. 129-144
    • Bar-Natan, D.1
  • 6
    • 84967756664 scopus 로고
    • New points of view in knot theory
    • [Bi]
    • [Bi] J. S. Birman. New points of view in knot theory. Bull. Amer. Math. Soc. 28 (1993), 253-287.
    • (1993) Bull. Amer. Math. Soc. , vol.28 , pp. 253-287
    • Birman, J.S.1
  • 7
    • 0002071708 scopus 로고
    • Knot polynomials and Vassiliev's invariants
    • [BL]
    • [BL] J. S. Birman and X-S. Lin. Knot polynomials and Vassiliev's invariants. Inv. Math. 111 (1993), 225-270.
    • (1993) Inv. Math. , vol.111 , pp. 225-270
    • Birman, J.S.1    Lin, X.-S.2
  • 8
    • 0000573672 scopus 로고
    • Construction combinatoire des invariants de Vassiliev-Kontsevich des nœuds
    • [Ca] Série I
    • [Ca] P. Cartier. Construction combinatoire des invariants de Vassiliev-Kontsevich des nœuds. C. R. Acad. Sci. Paris 316 Série I (1993), 1205-1210.
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 1205-1210
    • Cartier, P.1
  • 9
    • 0000805003 scopus 로고
    • Quasi-Hopf algebras
    • [Drl]
    • [Drl] V. G. Drinfel'd. Quasi-Hopf algebras. Leningrad Math. J. 1 (1990), 1419-1457.
    • (1990) Leningrad Math. J. , vol.1 , pp. 1419-1457
    • Drinfel'D, V.G.1
  • 10
    • 0001754777 scopus 로고
    • On quasitriangular Quasi-Hopf algebras and a group closely connected with Gal(ℚ̄/ℚ)
    • [Dr2]
    • [Dr2] V. G. Drinfel'd. On quasitriangular Quasi-Hopf algebras and a group closely connected with Gal(ℚ̄/ℚ). Leningrad Math. J. 2 (1991), 829-860.
    • (1991) Leningrad Math. J. , vol.2 , pp. 829-860
    • Drinfel'D, V.G.1
  • 11
    • 0007149170 scopus 로고    scopus 로고
    • Quantization of Lie bialgebras, i
    • [EK1] See also q-alg/9506005 preprint
    • [EK1] P. Etingof and D. Kazhdan. Quantization of Lie bialgebras, I. Sel. math., New ser. 2 (1996), 1-41, See also q-alg/9506005 preprint.
    • (1996) Sel. Math., New Ser. , vol.2 , pp. 1-41
    • Etingof, P.1    Kazhdan, D.2
  • 16
    • 0003704279 scopus 로고
    • [Ka] Springer-Verlag GTM New York
    • [Ka] C. Kassel. Quantum groups. Springer-Verlag GTM 155, New York, 1994.
    • (1994) Quantum Groups , vol.155
    • Kassel, C.1
  • 18
    • 0000773637 scopus 로고
    • Monodromy representations of braid groups and Yang-Baxter equations
    • Koh
    • [Koh1 T. Kohno. Monodromy representations of braid groups and Yang-Baxter equations. Ann. Inst. Fourier 37 (1987), 139-160.
    • (1987) Ann. Inst. Fourier , vol.37 , pp. 139-160
    • Kohno, T.1
  • 19
    • 0000710370 scopus 로고
    • Vassiliev invariants and de-Rham complex on the space of knots
    • [Koh2]
    • [Koh2] T. Kohno. Vassiliev invariants and de-Rham complex on the space of knots. Contemp. Math. 179 (1994), 123-138.
    • (1994) Contemp. Math. , vol.179 , pp. 123-138
    • Kohno, T.1
  • 20
    • 0000294315 scopus 로고
    • Vassiliev's knot invariants
    • [Ron]
    • [Ron] M. Kontsevich. Vassiliev's knot invariants. Adv. in Sov. Math. 16 (1993), 137-150.
    • (1993) Adv. in Sov. Math. , vol.16 , pp. 137-150
    • Kontsevich, M.1
  • 21
    • 0002272042 scopus 로고    scopus 로고
    • An invariant of integral homology 3-spheres which is universal for all finite type invariants
    • [Le] (V. Buchstaber and S. Novikov, eds.), AMS Translations Series 2, Providence. See aso q-alg/9601002.
    • [Le] T. Q. T. Le. An invariant of integral homology 3-spheres which is universal for all finite type invariants. In: Solitons, geometry and topology: on the crossroad (V. Buchstaber and S. Novikov, eds.), AMS Translations Series 2, Providence. See aso q-alg/9601002.
    • Solitons, Geometry and Topology: on the Crossroad
    • Le, T.Q.T.1
  • 22
    • 0001802949 scopus 로고    scopus 로고
    • The universal Vassiliev-Kontsevich invariant for framed oriented links
    • [LM1] See also hep-th/9401016
    • [LM1] T. Q. T. Le and J. Murakami. The universal Vassiliev-Kontsevich invariant for framed oriented links. Composite Math. 102 (1996), 42-64, See also hep-th/9401016.
    • (1996) Composite Math. , vol.102 , pp. 42-64
    • Le, T.Q.T.1    Murakami, J.2
  • 23
    • 0347113880 scopus 로고    scopus 로고
    • Parallel version of the universal Vassiliev-Kontsevich invariant
    • [LM2]
    • [LM2] T. Q. T. Le and J. Murakami. Parallel version of the universal Vassiliev-Kontsevich invariant. To appear in J. Pure and Appl. Algebra.
    • J. Pure and Appl. Algebra
    • Le, T.Q.T.1    Murakami, J.2
  • 24
    • 0039271715 scopus 로고    scopus 로고
    • On a universal quantum invariant of 3-manifolds
    • [LMO] See also q-alg/9512002
    • [LMO] T. Q. T. Le, J. Murakami and T. Ohtsuki. On a universal quantum invariant of 3-manifolds, To appear in Topology. See also q-alg/9512002.
    • Topology.
    • Le, T.Q.T.1    Murakami, J.2    Ohtsuki, T.3
  • 28
    • 21844504234 scopus 로고    scopus 로고
    • Combinatorial expression for universal Vassiliev link invariant
    • [Pi]
    • [Pi] S. Piunikhin. Combinatorial expression for universal Vassiliev link invariant. Commun. Math. Phys. 168-1, 1-22.
    • Commun. Math. Phys. , vol.1681 , pp. 1-22
    • Piunikhin, S.1
  • 29
    • 0010016539 scopus 로고
    • The Grothendieck theory of dessins d'enfants
    • [Sc] L. Schneps (ed.). Cambridge Univ. Press, Cambridge, UK
    • [Sc] L. Schneps (ed.). The Grothendieck theory of dessins d'enfants. London Math. Soc. Lee. Notes Ser, 200. Cambridge Univ. Press, Cambridge, UK, 1994.
    • (1994) London Math. Soc. Lee. Notes ser , vol.200
  • 31
    • 0001799506 scopus 로고
    • [Val] Theory of Singularities and its Applications (Providence) (V. I. Arnold, ed.). Amer. Math. Soc., Providence
    • [Val] V. A. Vassiliev. Cohomology of knot spaces. Theory of Singularities and its Applications (Providence) (V. I. Arnold, ed.). Amer. Math. Soc., Providence, 1990.
    • (1990) Cohomology of Knot Spaces
    • Vassiliev, V.A.1
  • 32
    • 0003234747 scopus 로고
    • Complements of discriminants of smooth maps: Topology and applications
    • [Va2] Amer. Math. Soc., Providence
    • [Va2] V. A. Vassiliev. Complements of discriminants of smooth maps: topology and applications. Trans, of Math. Mono., 98, Amer. Math. Soc., Providence, 1992.
    • (1992) Trans, of Math. Mono. , vol.98
    • Vassiliev, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.