Equivariant Elliptic Cohomology and Mapping Stacks
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917553791565824 |
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| author | Sibilla, Nicolò Tomasini, Paolo |
| author_facet | Sibilla, Nicolò Tomasini, Paolo |
| contents | We introduce a new cohomology theory for stacks called elliptic Hochschild homology, prove some fundamental properties and compute it in some classes of examples. We then introduce its periodic cyclic version and show that, over the complex numbers and for a quotient stack, this recovers Grojnowski's equivariant elliptic cohomology of the analytification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10146 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivariant Elliptic Cohomology and Mapping Stacks Sibilla, Nicolò Tomasini, Paolo Algebraic Geometry Algebraic Topology 14D23, 55N34 We introduce a new cohomology theory for stacks called elliptic Hochschild homology, prove some fundamental properties and compute it in some classes of examples. We then introduce its periodic cyclic version and show that, over the complex numbers and for a quotient stack, this recovers Grojnowski's equivariant elliptic cohomology of the analytification. |
| title | Equivariant Elliptic Cohomology and Mapping Stacks |
| topic | Algebraic Geometry Algebraic Topology 14D23, 55N34 |
| url | https://arxiv.org/abs/2303.10146 |