Excision of Skein Categories and Factorisation Homology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866915103336562688 |
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| author | Cooke, Juliet |
| author_facet | Cooke, Juliet |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_02630 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Excision of Skein Categories and Factorisation Homology Cooke, Juliet Quantum Algebra 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. |
| title | Excision of Skein Categories and Factorisation Homology |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/1910.02630 |