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arXiv · 2304.10223

Deformations of Gentle $A_\infty$-Algebras

Raf Bocklandt·Jasper van de Kreeke
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Abstract

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.

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Raf Bocklandt, Jasper van de Kreeke. 2023-04-20. Deformations of Gentle $A_\infty$-Algebras. https://arxiv.org/abs/2304.10223

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