43 citations · 64 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
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…
Derived equivalence classification of Brauer graph algebras
Sebastian Opper, Alexandra Zvonareva
We classify Brauer graph algebras up to derived equivalence by showing that the set of derived invariants introduced by Antipov is complete. These algebras first appeared in repres…
Spherical objects, transitivity and auto-equivalences of Kodaira cycles via gentle algebras
Sebastian Opper
This paper studies the class of spherical objects over any Kodaira -cycle of projective lines and provides a parametrization of their isomorphism classes in terms of closed curv…
On auto-equivalences and complete derived invariants of gentle algebras
Sebastian Opper
We study triangulated categories which can be modeled by an oriented marked surface and a line field on . This includes bounded derived categories of…
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…