Jasper van de Kreeke

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math.RA2023

Explicit Hochschild Cocycles for Gentle Algebras

Jasper van de Kreeke

Hochschild cohomology is crucial for understanding deformation theory. In arXiv:2304.10223, we have computed the Hochschild cohomology for gentle algebras of punctured surfaces. Th…

math.RA2023

Deformations of Gentle $A_{\infty}$ -Algebras

Raf Bocklandt, Jasper van de Kreeke

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 collec…

Explicit Hochschild Cocycles for Gentle Algebras

Deformations of Gentle A∞​-Algebras

Deformations of Gentle $A_{\infty}$ -Algebras