Cohomological Mackey formula for quotient stacks
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909610521133056 |
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| author | Hennecart, Lucien |
| author_facet | Hennecart, Lucien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09483 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomological Mackey formula for quotient stacks Hennecart, Lucien Representation Theory Algebraic Geometry 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. |
| title | Cohomological Mackey formula for quotient stacks |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2505.09483 |