3 papers
math.AG2026
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-CÄldÄraru-Hablicsek in the smooth, g…
math.AG2025
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…
math.AT2024
Topological field theories associated with Calabi-Yau categories
Tristan Bozec, Damien Calaque, Sarah Scherotzke
We construct symmetric monoidal higher categories of iterated Calabi-Yau cospans, that are noncommutative analogs of iterated lagrangian correspondences. We actually give a general…