25 citations · 95 across the 23 of their papers we have counts for
18 papers · 1 filter
An Orlov theorem for matrix factorizations with multiple factors
Alessandro Lehmann, Nicolò Sibilla
We prove a generalization of Orlov's theorem for matrix factorizations with steps. Let be a regular scheme, a flat morphism and i…
Hochschild-Kostant-Rosenberg isomorphism for derived Deligne-Mumford stacks
Lie Fu, Mauro Porta, Sarah Scherotzke +1
We prove a Hochschild--Konstant--Rosenberg (HKR) theorem for arbitrary derived Deligne--Mumford (DM) stacks, extending the results of Arinkin-Căldăraru-Hablicsek in the smooth, glo…
Fourier--Mukai equivalences for formal groups and elliptic Hochschild homology
Sarah Scherotzke, Nicolò Sibilla, Paolo Tomasini
This paper establishes a unifying framework for various forms of twisted Hochschild homology by comparing two definitions of elliptic Hochschild homology: one introduced by Moulino…
Higher Koszul duality and -affineness
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
In this paper we study -Koszul duality in the topological setting, and the closely related question of \emph{-affineness} for Betti stacks. The -Kosz…
Equivariant Elliptic Cohomology and Mapping Stacks
Nicolò Sibilla, Paolo Tomasini
We introduce a new cohomology theory for stacks called elliptic Hochschild homology, prove some fundamental properties and compute it in some classes of examples. We then introduce…
Equivariant elliptic cohomology, toric varieties, and derived equivalences
Sarah Scherotzke, Nicolo Sibilla
In this article we study the equivariant elliptic cohomology of complex toric varieties. We prove a partial reconstruction theorem showing that equivariant elliptic cohomology enco…