Theory of generalised biquandles and its applications to generalised knots

Theory of generalised biquandles and its applications to generalised knots

by Dr Ansgar Wenzel

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Overview

In this thesis we present a range of different knot theories and then generalise them. Working with this, we focus on biquandles with linear and quadratic biquandle functions (in the quad-
ratic case we restrict ourselves to functions with commutative coefficients). In particular, we show that if a biquandle is commutative, the biquandle function must have non-commutative coefficients, which ties in with the Alexander biquandle in the linear case.
We then describe some computational work used to calculate rack and birack homology.

Product Details

ISBN-13: 9781540604897
Publisher: CreateSpace Publishing
Publication date: 11/29/2016
Pages: 154
Product dimensions: 8.50(w) x 11.02(h) x 0.40(d)

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