David Jordan

activity

20232025

collaborators

5 papers

math.QA2025

The skein partition function of the mapping torus

Julia Bierent, David Jordan, Matthias Vancraeynest +1

We compute the dimensions of $GL_{N}$ -skein modules of genus-one mapping tori $T^{2} \times_{γ} S^{1}$ , for an arbitrary diffeomorphism of $T^{2}$ , and for generic quantum parameter. Th…

math.QA2025

Finiteness and holonomicity of skein modules

David Jordan, Iordanis Romaidis

We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal ske…

math.QA2024

Skeins on tori

Sam Gunningham, David Jordan, Monica Vazirani

We analyze the $G$ -skein theory invariants of the 3-torus $T^{3}$ and the two-torus $T^{2}$ , for the groups $G = G L_{N}, S L_{N}$ and for generic quantum parameter. We obtain formulas for t…

math.RA2024

Skew derivations of quantum tori and quantum spaces

David A. Jordan

We determine the $σ$ -derivations of quantum tori and quantum affine spaces for a toric automorphism $σ$ . By standard results, every toric automorphism $σ$ of a quantum affine space…

math.RT2023

Quantum Character Theory

Sam Gunningham, David Jordan, Monica Vazirani

We develop a $q$ -analogue of the theory of conjugation equivariant $D$ -modules on a complex reductive group $G$ . In particular, we define quantum Hotta-Kashiwara…