David Jordan

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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 $T^{2} \times_{I^}^{3} S^{1}$ , for an arbitrary diffeomorphism of $T^{2}$ , and for generic quantum parameter. T…

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…