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arXiv · 2511.19139

The skein partition function of the mapping torus

Julia Bierent·David Jordan·Matthias Vancraeynest·Monica Vazirani
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Abstract

We compute the dimensions of $\text{GL}_N$-skein modules of genus-one mapping tori $T^2\times_\gamma S^1$, for an arbitrary diffeomorphism of $T^2$, and for generic quantum parameter. These are most cleanly expressed via a generating function over all $N$, which we dub the skein partition function, and for which we compute an explicit Euler product expansion.

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Julia Bierent, David Jordan, Matthias Vancraeynest, Monica Vazirani. 2025-11-24. The skein partition function of the mapping torus. https://arxiv.org/abs/2511.19139

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