25 citations · 95 across the 23 of their papers we have counts for
27 papers
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…
Speculations on higher Fukaya categories
James Pascaleff, Nicolò Sibilla
We investigate a possible theory of higher Fukaya categories associated to -shifted symplectic stacks, where . We consider two paradigmatic cases, the shifted cotangen…
Higher local systems and the categorified monodromy equivalence
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
We study local systems of -categories on spaces. We prove that categorical local systems are captured by (higher) monodromy data: in particular, if is -conne…