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arXiv · 0908.1965

Alexander-Lin twisted polynomials

Daniel S. Silver·Susan G. Williams
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Abstract

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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Daniel S. Silver, Susan G. Williams. 2009-08-13. Alexander-Lin twisted polynomials. https://arxiv.org/abs/0908.1965

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