5 papers
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…
-Deformations and their Derived Categories
Jasper van de Kreeke
Handling curved -deformations is challenging and defining their derived categories seems impossible. In this paper, we show how to welcome the curvature and build deriv…
Deformed Mirror Symmetry for Punctured Surfaces
Raf Bocklandt, Jasper van de Kreeke
Mirror symmetry originally envisions a correspondence between deformations of the A-side and deformations of the B-side. In this paper, we achieve an explicit correspondence in the…
Relative Fukaya Categories via Gentle Algebras
Jasper van de Kreeke
Relative Fukaya categories are hard to construct. In this paper, we provide a very explicit construction in the case of punctured surfaces. The starting point is the gentle algebra…
Deformations of Gentle -Algebras
Raf Bocklandt, Jasper van de Kreeke
In this paper we calculate the Hochschild cohomology of gentle -algebras of arc collections on marked surfaces without boundary components. When the underlying arc collec…