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Cohomological Mackey formula for quotient stacks (2505.09483v1)
Published 14 May 2025 in math.RT and math.AG
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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