What type of study is this?

This is a Quantitative Study study.

October 9, 20250 citationsOpen Access

Cohomological Mackey formula for quotient stacks

LHLucien HennecartCentre National de la Recherche Scientifique

Key Points

The study reveals a compatibility formula between restriction and induction maps in cohomology.
Critical cohomology is structured as a localized induction-restriction system, enhancing its mathematical framework.
A construction of a restriction morphism is detailed in the context of an equivariant Landau-Ginzburg model.
This approach connects representation theory of reductive groups with critical cohomology.

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.

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Cite This Study

Lucien Hennecart (Wed,) studied this question.

synapsesocial.com/papers/68e8439a9989581a2fd4e022 https://doi.org/https://doi.org/10.48550/arxiv.2505.09483

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