102 citations · 388 across the 40 of their papers we have counts for
4 papers · 1 filter
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…
On compact generation of deformed schemes
Wendy Lowen, Michel Van den Bergh
We obtain a theorem which allows to prove compact generation of derived categories of Grothendieck categories, based upon certain coverings by localizations. This theorem follows f…
Calabi-Yau algebras and superpotentials
Michel Van den Bergh
We prove that complete d-Calabi-Yau algebras in the sense of Ginzburg are derived from superpotentials.
Hochschild cohomology and Atiyah classes
Damien Calaque, Michel Van den Bergh
In this paper we prove that on a smooth algebraic variety the HKR-morphism twisted by the square root of the Todd genus gives an isomorphism between the sheaf of poly-vector fields…