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On meta-monoids and the Alexander polynomial
by
Huan Vo
University of Toronto
We define an algebraic structure called meta-monoids which are suited for the study of knot theory. We introduce a particular meta-monoid called Γ-calculus which yields an Alexander invariant of tangles. Using Γ-calculus, we rederive certain basic properties of the Alexander polynomial, most notably the Fox-Milnor condition for ribbon knots. This talk is based on the paper arXiv:1710.08993
Date received: November 6, 2017
Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboj-09.