Deformations of Gentle $A_\infty$-Algebras
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910773863776256 |
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| author | Bocklandt, Raf van de Kreeke, Jasper |
| author_facet | Bocklandt, Raf van de Kreeke, Jasper |
| contents | In this paper we calculate the Hochschild cohomology of gentle $A_\infty$-algebras of arc collections on marked surfaces without boundary components. When the underlying arc collection has no loops or two-cycles, we show that the dgla structure of the Hochschild complex is formal and give an explicit realization of all deformations up to gauge equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10223 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deformations of Gentle $A_\infty$-Algebras Bocklandt, Raf van de Kreeke, Jasper Rings and Algebras 16E40, 16S80 In this paper we calculate the Hochschild cohomology of gentle $A_\infty$-algebras of arc collections on marked surfaces without boundary components. When the underlying arc collection has no loops or two-cycles, we show that the dgla structure of the Hochschild complex is formal and give an explicit realization of all deformations up to gauge equivalence. |
| title | Deformations of Gentle $A_\infty$-Algebras |
| topic | Rings and Algebras 16E40, 16S80 |
| url | https://arxiv.org/abs/2304.10223 |