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

Excision of Skein Categories and Factorisation Homology