Formality and strongly unique enhancements
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Accesso online: | |
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| _version_ | 1866908854274490368 |
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| author | Lorenzin, Antonio |
| author_facet | Lorenzin, Antonio |
| contents | Inspired by the intrinsic formality of graded algebras, we prove a necessary and sufficient condition for strongly uniqueness of DG-enhancements. This approach offers a generalization to linearity over any commutative ring. In particular, we obtain several new examples of triangulated categories with a strongly unique DG-enhancement. Moreover, we also show that the bounded derived category of an exact category has a unique enhancement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_09527 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Formality and strongly unique enhancements Lorenzin, Antonio K-Theory and Homology Inspired by the intrinsic formality of graded algebras, we prove a necessary and sufficient condition for strongly uniqueness of DG-enhancements. This approach offers a generalization to linearity over any commutative ring. In particular, we obtain several new examples of triangulated categories with a strongly unique DG-enhancement. Moreover, we also show that the bounded derived category of an exact category has a unique enhancement. |
| title | Formality and strongly unique enhancements |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2204.09527 |