Wenzel, Ansgar.pdf (2.23 MB)
Theory of generalised biquandles and its applications to generalised knots
thesis
posted on 2023-06-09, 04:10 authored by Ansgar WenzelIn 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 quadratic 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.
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- Published version
Pages
136.0Department affiliated with
- Mathematics Theses
Qualification level
- doctoral
Qualification name
- phd
Language
- eng
Institution
University of SussexFull text available
- Yes
Legacy Posted Date
2016-11-23Usage metrics
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