Alexander-Lin twisted polynomials

Details Alexander-Lin twisted polynomials Alexander-Lin twisted polynomials

2009-08-13

arxiv.org/abs/0908.1965v1

Mathematics

Geometric Topology

8 pages, 1 figure

Scientific paper

X.S. Lin's original definition of twisted Alexander knot polynomial is
generalized for arbitrary finitely presented groups. J. Cha's fibering
obstruction theorem is generalized. The group of a nontrivial virtual knot
shown by L. Kauffman to have trivial Jones polynomial is seen also to have a
faithful representation that yields a trivial twisted Alexander polynomial.

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