dorsal/arxiv
View SchemaHochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation
| Authors | Xiuli Bian, Sibylle Schroll, Andrea Solotar, Xiao-chuang Wang, Can Wen |
|---|---|
| Categories | |
| ArXiv ID | 2601.05325vv1 |
| URL | https://arxiv.org/abs/2601.05325 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
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"abstract": "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.",
"arxiv_id": "2601.05325",
"authors": [
"Xiuli Bian",
"Sibylle Schroll",
"Andrea Solotar",
"Xiao-chuang Wang",
"Can Wen"
],
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"math.RT",
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation",
"url": "https://arxiv.org/abs/2601.05325",
"version": "v1"
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