Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909985433190400 |
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| author | Bian, Xiuli Schroll, Sibylle Solotar, Andrea Wang, Xiao-chuang Wen, Can |
| author_facet | Bian, Xiuli Schroll, Sibylle Solotar, Andrea Wang, Xiao-chuang Wen, Can |
| contents | In this paper we calculate the Hochschild cohomology of graded skew-gentle algebras, together with its structure as graded commutative algebra under the cup product and its Lie algebra structure given by the Gerstenhaber bracket. One of the results of this paper is that for graded skew-gentle algebras and thus also for partially wrapped Fukaya categories of orbifold surfaces with stops, their Hochschild cohomology is encoded in the underlying graded surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05325 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation Bian, Xiuli Schroll, Sibylle Solotar, Andrea Wang, Xiao-chuang Wen, Can Representation Theory K-Theory and Homology Rings and Algebras Symplectic Geometry 18G10, 16E35, 16S37, 53D37, 16S80, 18G70 In this paper we calculate the Hochschild cohomology of graded skew-gentle algebras, together with its structure as graded commutative algebra under the cup product and its Lie algebra structure given by the Gerstenhaber bracket. One of the results of this paper is that for graded skew-gentle algebras and thus also for partially wrapped Fukaya categories of orbifold surfaces with stops, their Hochschild cohomology is encoded in the underlying graded surface. |
| title | Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation |
| topic | Representation Theory K-Theory and Homology Rings and Algebras Symplectic Geometry 18G10, 16E35, 16S37, 53D37, 16S80, 18G70 |
| url | https://arxiv.org/abs/2601.05325 |