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Title: Theory of generalised biquandles and its applications to generalised knots
Author: Wenzel, Ansgar
ISNI:       0000 0004 5992 5614
Awarding Body: University of Sussex
Current Institution: University of Sussex
Date of Award: 2016
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA0440 Geometry. Trigonometry. Topology