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Representations of Knot Groups and Twisted Alexander Polynomials

Representations of Knot Groups and Twisted Alexander Polynomials
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摘要 We present a twisted version of the Alexander polynomial associated with a matrix rep- resentation of the knot group.Examples of two knots with the same Alexander module but different twisted Alexander polynomials are given. We present a twisted version of the Alexander polynomial associated with a matrix rep- resentation of the knot group.Examples of two knots with the same Alexander module but different twisted Alexander polynomials are given.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第3期5+362-380,共20页 数学学报(英文版)
关键词 Twisted Alexander polynomial Representation space Knot group Twisted Alexander polynomial Representation space Knot group
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参考文献10

  • 1Freyd P,Yetter D,Hoste J,Lickorish WBR,Millett K,Ocneanu A.A new polynomial invariant of knots and links[].Bulletin of the American Mathematical Society.1985
  • 2Wada,M.Twisted Alexander polynomial for finitely presented groups[].Topology.1994
  • 3T. Kitano.Twisted Alexander polynomial and Reidemeister torsion[].Pacific Journal of Mathematics.1996
  • 4Kirk,P.,Livingston,C.Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants[].Topology.1999
  • 5P. Kirk,C. Livingston.Twisted knot polynomials: inversion, mutation and concordance[].Topology.1999
  • 6Reidemeister,K. Knotentheorie . 1948
  • 7Rolfsen,D. Knots and Links. Math . 1976
  • 8S.Cappell,R.Lee,E.Miller.A symplectic geometry approach to generalized Casson’’s invariants of 3manifold[].BullAMS.1990
  • 9B.Jiang,S Wang.Twisted topological invariants associated with representations[].Topics ia knot theory.1993
  • 10R.H.Fox.A quick trip through knot theory[].Topology of manifolds.1960

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