Theory of generalised biquandles and its applications to generalised knots (Paperback) (ISBN-13: 9781540604897)

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.

Author: Ansgar Wenzel
ISBN-10: 1540604896
ISBN-13: 9781540604897
Publisher: Createspace Independent Publishing Platform
Language: English
Published: 11/29/2016
Pages: 154
Format: Paperback
Weight: 1.13lbs
Size: 11.00h x 8.50w x 0.40d