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arXiv · 2606.24378

Central extensions of mapping class groups of surfaces from stated skein algebras

Joris Moulai
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Abstract

Let $\Sigma$ be a surface of genus $g$ with zero or one boundary component and $n$ marked points, and $H$ a finite-dimensional factorizable ribbon Hopf algebra. We compute the central extension of the mapping class group of $\Sigma$, associated with a linearization of the projective representation constructed from the stated skein algebra of $\Sigma$ and $H$. Our proof is purely two-dimensional, and makes no use of TQFT arguments.

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Joris Moulai. 2026-06-23. Central extensions of mapping class groups of surfaces from stated skein algebras. https://arxiv.org/abs/2606.24378

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