Cohomological Mackey formula for quotient stacks
Representation Theory
2025-05-15 v1 Algebraic Geometry
Abstract
In this paper, we construct a restriction morphism on the critical cohomology of an equivariant Landau-Ginzburg model associated to a representation of a reductive group equipped with an invariant function. We show a compatibility formula between the restriction and induction maps as a Mackey-type formula, thereby giving the critical cohomology the structure of a localized induction-restriction system.
Cite
@article{arxiv.2505.09483,
title = {Cohomological Mackey formula for quotient stacks},
author = {Lucien Hennecart},
journal= {arXiv preprint arXiv:2505.09483},
year = {2025}
}
Comments
v1: 41 pages. Comments welcome