Theory of generalised biquandles and its applications to by Ansgar Wenzel

By Ansgar Wenzel

during this thesis we current more than a few varied knot theories after which generalise them. Working
with this, we specialise in biquandles with linear and quadratic biquandle services (in the quad-
ratic case we limit ourselves to features with commutative coefficients). specifically, we
show that if a biquandle is commutative, the biquandle functionality should have non-commutative
coefficients, which ties in with the Alexander biquandle within the linear case.
We then describe a few computational paintings used to calculate rack and birack homology.

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