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arXiv · 1910.02630

Excision of Skein Categories and Factorisation Homology

Juliet Cooke
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Abstract

We prove that the skein categories of Walker--Johnson-Freyd satisfy excision. This allows us to conclude that skein categories are $k$-linear factorisation homology and taking the free cocompletion of skein categories recovers locally finitely presentable factorisation homology. An application of this is that the skein algebra of a punctured surface related to any quantum group with generic parameter gives a quantisation of the associated character variety.

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Juliet Cooke. 2019-10-07. Excision of Skein Categories and Factorisation Homology. https://doi.org/10.1016/j.aim.2022.108848

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