Document Type
Article - pre-print
Publication Date
2017
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 .
Digital Commons @ LMU & LLS Citation
Benioff, Isaac, and Blake Mellor. “The Alexander Polynomial for Virtual Twist Knots.” Journal of Knot Theory and Its Ramifications 26, no. 01 (January 2017): 1750007. https://doi.org/10.1142/S0218216517500079.
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