Theory of generalised biquandles and its applications to generalised knots
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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 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.
Publisher Name | Createspace Independent Publishing Platform |
---|---|
Author Name | Hagendorf, Col |
Format | Audio |
Bisac Subject Major | MAT |
Language | NG |
Isbn 10 | 1540604896 |
Isbn 13 | 9781540604897 |
Target Age Group | min:NA, max:NA |
Dimensions | 01.10" H x 20.08" L x 50.00" W |
Page Count | 154 |
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