Stacks similar to the stack of perverse sheaves
| dc.creator | Treumann, David | |
| dc.date | 2008-01-19 | |
| dc.date.accessioned | 2026-07-07T08:55:30Z | |
| dc.date.available | 2026-07-07T08:55:30Z | |
| dc.description | We introduce, on a topological space X, a class of stacks of abelian categories we call "stacks of type P." This class of stacks includes the stack of perverse sheaves (of any perversity, constructible with respect to a fixed stratification), and is singled out by fairly innocuous axioms. We show that some basic structure theory for perverse sheaves holds for a general stack of type P: such a stack is locally equivalent to a MacPherson-Vilonen construction, and under certain connectedness conditions its category of global objects is equivalent to the category of modules over a finite-dimensional algebra. To prove these results we develop a rudimentary tilting formalism for stacks of type P -- another sense in which these stacks are "similar to stacks of perverse sheaves." | |
| dc.identifier | https://arxiv.org/abs/0801.3016 | |
| dc.identifier | http://arxiv.org/abs/0801.3016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146292 | |
| dc.subject | Representation Theory | |
| dc.title | Stacks similar to the stack of perverse sheaves | |
| dc.type | text |