Infinity-categorical universal properties of quotients and localizations of A-infinity-categories
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866910020599283712 |
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| author | Oh, Yong-Geun Tanaka, Hiro Lee |
| author_facet | Oh, Yong-Geun Tanaka, Hiro Lee |
| contents | We show that certain hands-on A-infinity-categorical constructions satisfy desirable universal properties in the infinity-category of A-infinity categories. For sufficiently cofibrant A-infinity categories, two models for quotients of A-infinity categories (as constructed by Lyubashenko-Manzyuk and Lyubashenko-Ovisienko), and a model for localizations (as used by Ganatra-Pardon-Shende), satisfy the relevant universal properties. We apply the results here in a companion work to prove a Liouville version of a conjecture of Teleman from the 2014 ICM. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_05806 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Infinity-categorical universal properties of quotients and localizations of A-infinity-categories Oh, Yong-Geun Tanaka, Hiro Lee Category Theory Algebraic Topology Symplectic Geometry We show that certain hands-on A-infinity-categorical constructions satisfy desirable universal properties in the infinity-category of A-infinity categories. For sufficiently cofibrant A-infinity categories, two models for quotients of A-infinity categories (as constructed by Lyubashenko-Manzyuk and Lyubashenko-Ovisienko), and a model for localizations (as used by Ganatra-Pardon-Shende), satisfy the relevant universal properties. We apply the results here in a companion work to prove a Liouville version of a conjecture of Teleman from the 2014 ICM. |
| title | Infinity-categorical universal properties of quotients and localizations of A-infinity-categories |
| topic | Category Theory Algebraic Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2003.05806 |