5 papers
Autoequivalences of Fukaya categories of surfaces and graded gentle algebras
Sebastian Opper
We compute the derived Picard groups of partially wrapped Fukaya categories of surfaces in the sense of Haiden-Katzarkov-Kontsevich and the related graded gentle algebras. This inc…
Integration of Hochschild cohomology, derived Picard groups and uniqueness of lifts
Sebastian Opper
The paper introduces a partial integration map from the first Hochschild cohomology of any cohomologically unital A-infinity category over a field of characteristic zero to its der…
Hochschild cohomology of graded gentle algebras and intrinsic formality
Sebastian Opper
We describe the (bigraded) Hochschild cohomology of graded gentle algebras along with the Gerstenhaber bracket and cup product. In particular, this yields a description of the Hoch…
Reflexive dg categories in algebra and topology
Matt Booth, Isambard Goodbody, Sebastian Opper
Reflexive dg categories were introduced by Kuznetsov and Shinder to abstract the duality between bounded and perfect derived categories. In particular this duality relates their Ho…
A geometric model for the derived category of gentle algebras
Sebastian Opper, Pierre-Guy Plamondon, Sibylle Schroll
In this paper we construct a geometric model for the triangulated category generated by the simple modules of any graded gentle algebra. This leads to a geometric model of their pe…