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arXiv · 2601.05325

Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation

Xiuli Bian·Sibylle Schroll·Andrea Solotar·Xiao-chuang Wang·Can Wen
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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.

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Xiuli Bian, Sibylle Schroll, Andrea Solotar, Xiao-chuang Wang, Can Wen. 2026-01-08. Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation. https://arxiv.org/abs/2601.05325

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