Theory of generalised biquandles and its applications to generalised knots

Wenzel, Ansgar (2016) Theory of generalised biquandles and its applications to generalised knots. Doctoral thesis (PhD), University of Sussex.

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Abstract

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 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.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0440 Geometry. Trigonometry. Topology
Depositing User: Library Cataloguing
Date Deposited: 23 Nov 2016 16:00
Last Modified: 23 Nov 2016 16:00
URI: http://srodev.sussex.ac.uk/id/eprint/65625

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