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

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

2009-11-12

arxiv.org/abs/0911.2273v2

Mathematics

Algebraic Topology

Princeton University undergraduate thesis

Scientific paper

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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