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math.QA2019
The Kauffman skein algebra of the torus
Hugh Morton, Alexander Pokorny, Peter Samuelson
We give a presentation of the Kauffman (BMW) skein algebra of the torus, which is the "type BCD" analogue of the Homflypt skein algebra of torus which was computed by the first and…
math.QA2019
Cyclotomic Expansion of Generalized Jones Polynomials
Yuri Berest, Joseph Gallagher, Peter Samuelson
In previous work of the first and third authors, we proposed a conjecture that the Kauffman bracket skein module of any knot in carries a natural action of the rank 1 double…
math.QA2019
The Hall Algebras of Annuli
Benjamin Cooper, Peter Samuelson
We refine and prove the central conjecture of our first paper for annuli with at least two marked intervals on each boundary component by computing the derived Hall algebras of the…