16 citations · 68 across the 25 of their papers we have counts for
14 papers · 1 filter
Filtered derived categories of curved deformations
Alessandro Lehmann, Wendy Lowen
We propose a solution to the "curvature problem" from arXiv:1505.03698 and arXiv:0905.3845 for infinitesimal deformations. Let be a field, a dg algebra over and $A_n =…
Operadic structure on the Gerstenhaber-Schack complex for prestacks
Hoang Dinh Van, Lander Hermans, Wendy Lowen
We introduce an operad which acts on the Gerstenhaber-Schack complex of a prestack as defined by Dinh Van and Lowen, and which in particular allows us to endow this complex with an…
The -structure on the derived endomorphism algebra of the unit in a monoidal category
Wendy Lowen, Michel Van den Bergh
Consider a monoidal category which is at the same time abelian with enough projectives and such that projectives are flat on the right. We show that there is a -algebra…
The Gerstenhaber-Schack complex for prestacks
Hoang Dinh Van, Wendy Lowen
Building on the work of Gerstenhaber and Schack for presheaves of algebras, we define a Gerstenhaber-Schack complex C_GS(A) for an arbitrary prestack A, that is a pseudofunctor tak…
The curvature problem for formal and infinitesimal deformations
Wendy Lowen, Michel Van den Bergh
We interpret all Maurer-Cartan elements in the formal Hochschild complex of a small dg category which is cohomologically bounded above in terms of torsion Morita deformations. This…
Hochschild cohomology with support
Wendy Lowen
In this paper we investigate the functoriality properties of map-graded Hochschild complexes. We show that the category MAP of map-graded categories is naturally a stack over the c…