Excision of skein categories and factorisation homology

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2023

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2022.108848