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arXiv · 0911.2273

Alexander Polynomials of Periodic Knots: A Homological Proof and Twisted Extension

Ross Elliot
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Abstract

In 1971, Kunio Murasugi proved a necessary condition on a knot's Alexander polynomial for that knot to be periodic of prime power order. In this paper I present an alternate proof of Murasugi's condition which is subsequently used to extend his result to the twisted Alexander polynomial.

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Ross Elliot. 2009-11-17. Alexander Polynomials of Periodic Knots: A Homological Proof and Twisted Extension. https://arxiv.org/abs/0911.2273

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