Quantum Character Theory

S Gunningham, D Jordan, M Vazirani - arXiv preprint arXiv:2309.03117, 2023 - arxiv.org
We develop a $\mathtt {q} $-analogue of the theory of conjugation equivariant $\mathcal D $-
modules on a complex reductive group $ G $. In particular, we define quantum Hotta …

Skein module dimensions of mapping tori of the 2-torus

P Kinnear - arXiv preprint arXiv:2304.07332, 2023 - arxiv.org
We determine the dimension of the Kauffman bracket skein module at generic $ q $ for
mapping tori of the 2-torus, generalising the well-known computation of Carrega and Gilmer …