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math.AG2025
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…
math.CT2025
Standard -structures
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We provide a general construction of induced -structures, that generalizes standard -structures for -categories of sheaves. More precisely, given a presentable $\inft…
math.AG2025
The derived moduli of Stokes data
Mauro Porta, Jean-Baptiste Teyssier
The goal of this paper is to show that Stokes data coming from flat bundles form a locally geometric derived stack locally of finite presentation. This generalizes existing geometr…