The Alexander Polynominal for Virtual Twist Knots

Isaac Benioff, Blake Mellor

Research output: Contribution to journalArticle

Abstract

We define a family of virtual knots generalizing the classical twist knots. We develop a recursive formula for the Alexander polynomial Δ0 (as defined by Silver and Williams [Polynomial invariants of virtual links, J. Knot Theory Ramifications12 (2003) 987–1000]) of these virtual twist knots. These results are applied to provide evidence for a conjecture that the odd writhe of a virtual knot can be obtained from Δ0 .

Original languageEnglish
JournalMathematics Faculty Works
StatePublished - Jan 1 2017

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