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612-822-4611
Theory of generalised biquandles and its applications to generalised knots

Theory of generalised biquandles and its applications to generalised knots

Paperback

General Mathematics

ISBN10: 1540604896
ISBN13: 9781540604897
Publisher: Createspace
Published: Nov 29 2016
Pages: 154
Weight: 1.13
Height: 0.40 Width: 8.50 Depth: 11.00
Language: English
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.

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General Mathematics