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Volumn 55, Issue 3, 2001, Pages 181-192

Topological invariants in braid theory

Author keywords

Braids; Hamiltonian dynamics; Knots

Indexed keywords


EID: 0041814706     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010979823190     Document Type: Article
Times cited : (24)

References (25)
  • 1
    • 0039955832 scopus 로고
    • Gröbli's solution of the three vortex problem
    • Aref, H., Rott, N. and Thomann, H.: Gröbli's solution of the three vortex problem, Ann. Rev. Fluid. Mech. 24 (1992), 1.
    • (1992) Ann. Rev. Fluid. Mech. , vol.24 , pp. 1
    • Aref, H.1    Rott, N.2    Thomann, H.3
  • 2
    • 0001560677 scopus 로고
    • The cohomology ring of the coloured braid group
    • Arnol'd, V. I.: The cohomology ring of the coloured braid group, Math. Notes Acad. Sci. USSR 5 (1969), 227 (Math. Notes 5 (1974), 138).
    • (1969) Math. Notes Acad. Sci. USSR , vol.5 , pp. 227
    • Arnol'd, V.I.1
  • 3
    • 0001560677 scopus 로고
    • Arnol'd, V. I.: The cohomology ring of the coloured braid group, Math. Notes Acad. Sci. USSR 5 (1969), 227 (Math. Notes 5 (1974), 138).
    • (1974) Math. Notes , vol.5 , pp. 138
  • 5
    • 0001641002 scopus 로고
    • Third-order link integrals
    • Berger, M. A.: Third-order link integrals, J. Phys. A: Math. Gen. 23 (1990), 2787.
    • (1990) J. Phys. A: Math. Gen. , vol.23 , pp. 2787
    • Berger, M.A.1
  • 6
    • 0004624601 scopus 로고
    • Third-order braid invariants
    • Berger, M. A.: Third-order braid invariants. J. Phys. A: Math. Gen. 24 (1991), 4027.
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 4027
    • Berger, M.A.1
  • 7
    • 21844524681 scopus 로고
    • Minimum crossing numbers for three-braids
    • Berger, M. A.: Minimum crossing numbers for three-braids, J. Phys. A: Math. Gen. 27 (1994), 6205.
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 6205
    • Berger, M.A.1
  • 8
    • 0035937075 scopus 로고    scopus 로고
    • Hamiltonian dynamics generated by Vassiliev invariants
    • Berger, M. A.: Hamiltonian dynamics generated by Vassiliev invariants, J. Phys. A: Math. Gen. 34 (2001), 1363.
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 1363
    • Berger, M.A.1
  • 10
    • 0002071708 scopus 로고
    • Knot polynomials and Vassiliev's invariants
    • Birman J. S. and Lin, X. S.: Knot polynomials and Vassiliev's invariants, Invent. Math. 111 (1993), 225.
    • (1993) Invent. Math. , vol.111 , pp. 225
    • Birman, J.S.1    Lin, X.S.2
  • 11
  • 12
    • 84966202575 scopus 로고    scopus 로고
    • Iterated path integrals
    • Chen, K. T.: Iterated path integrals, Bull. Amer. Math. Soc. 83 (1997), 831.
    • (1997) Bull. Amer. Math. Soc. , vol.83 , pp. 831
    • Chen, K.T.1
  • 13
    • 0003870032 scopus 로고    scopus 로고
    • Braid description of collective fluctuations in a few-body system
    • Clausen, S., Helgesen, G. and Skjeltorp, A. T.: Braid description of collective fluctuations in a few-body system, Phys. Rev. E 58 (1998), 4229.
    • (1998) Phys. Rev. E , vol.58 , pp. 4229
    • Clausen, S.1    Helgesen, G.2    Skjeltorp, A.T.3
  • 15
    • 0035300967 scopus 로고    scopus 로고
    • The Kontsevich integral
    • Chmutov, S. and Duzhin, S.: The Kontsevich integral, Act. Appl. Math. 66(2) (2001), 139-154.
    • (2001) Act. Appl. Math. , vol.66 , Issue.2 , pp. 139-154
    • Chmutov, S.1    Duzhin, S.2
  • 16
    • 0039826150 scopus 로고
    • A hierarchy of linking integrals
    • H. K. Moffatt, G. M. Zaslavsky, P. Comte and M. Tabor (eds), Santa Barbara, NATO ASI Proc. 237, Kluwer Acad. Publ., Dordrecht
    • Evans, W. N. and Berger, M. A.: A hierarchy of linking integrals, In: H. K. Moffatt, G. M. Zaslavsky, P. Comte and M. Tabor (eds), Topological Aspects of the Dynamics of Fluids and Plasmas, Santa Barbara, NATO ASI Proc. 237, Kluwer Acad. Publ., Dordrecht, 1992.
    • (1992) Topological Aspects of the Dynamics of Fluids and Plasmas
    • Evans, W.N.1    Berger, M.A.2
  • 17
    • 0040819898 scopus 로고
    • Techniques of geometric topology
    • Cambridge Univ. Press, Cambridge
    • Fenn, R. A.: Techniques of Geometric Topology, London Math. Soc. Lecture Note Ser. 57, Cambridge Univ. Press, Cambridge, 1983.
    • (1983) London Math. Soc. Lecture Note Ser. 57
    • Fenn, R.A.1
  • 18
    • 0000294315 scopus 로고
    • Vassiliev's knot invariants
    • Kontsevich, M.: Vassiliev's knot invariants, Adv. Soviet Math. 16 (1993), 137.
    • (1993) Adv. Soviet Math. , vol.16 , pp. 137
    • Kontsevich, M.1
  • 19
    • 0034347397 scopus 로고    scopus 로고
    • Asymptotic Massey products, induced currents and Borromean torus links
    • Laurence, P. and Stredulinsky, E.: Asymptotic Massey products, induced currents and Borromean torus links, J. Math. Phys. 41 (2000), 3170.
    • (2000) J. Math. Phys. , vol.41 , pp. 3170
    • Laurence, P.1    Stredulinsky, E.2
  • 20
    • 0000659595 scopus 로고
    • Topology of linked defects in condensed matter
    • Monastrysky, M. I. and Retakh, V.: Topology of linked defects in condensed matter, Comm. Math. Phys. 103 (1986), 445.
    • (1986) Comm. Math. Phys. , vol.103 , pp. 445
    • Monastrysky, M.I.1    Retakh, V.2
  • 21
    • 0039234314 scopus 로고
    • Topological invariants in magnetic hydrodynamics
    • Monastrysky, M. I. and Sasarov, P. V.: Topological invariants in magnetic hydrodynamics. Soviet Phys. JETP 93 (1987), 1210.
    • (1987) Soviet Phys. JETP , vol.93 , pp. 1210
    • Monastrysky, M.I.1    Sasarov, P.V.2
  • 22
    • 0000235054 scopus 로고
    • Braids in classical dynamics
    • Moore, C.: Braids in classical dynamics, Phys. Rev. Lett. 70 (1993), 3675.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 3675
    • Moore, C.1
  • 23
    • 0000858497 scopus 로고
    • Topological invariants of magnetic fields, and the effect of reconnections
    • Ruzmaikin, A. and Akhmetiev, P.: Topological invariants of magnetic fields, and the effect of reconnections, Phys. Plasmas 1 (1994), 331.
    • (1994) Phys. Plasmas , vol.1 , pp. 331
    • Ruzmaikin, A.1    Akhmetiev, P.2
  • 24
    • 0001799506 scopus 로고
    • Cohomology of knot spaces
    • Vassiliev, V. A.: Cohomology of knot spaces, Adv. Soviet Math. 1 (1990), 23.
    • (1990) Adv. Soviet Math. , vol.1 , pp. 23
    • Vassiliev, V.A.1
  • 25
    • 0043247477 scopus 로고    scopus 로고
    • PhD Thesis, University of Edinburgh
    • Willerton, S.: PhD Thesis, University of Edinburgh, 1997.
    • (1997)
    • Willerton, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.