6 papers
The derived moduli of perverse sheaves
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We construct higher derived Artin stacks parametrizing constructible sheaves on complex algebraic varieties and compact real analytic varieties. Furthermore, we show that every per…
Exodromy beyond conicality
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We show that compact subanalytic stratified spaces and algebraic stratifications of real varieties have finite exit-path -categories, refining classical theorems of Lefsche…
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…
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…
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…
Homotopy theory of Stokes data
Mauro Porta, Jean-Baptiste Teyssier
In this paper we lay the foundations of an -categorical theory of Stokes data.