Equivariant elliptic cohomology and the 2-loop groupoid
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914898796085248 |
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| author | Spong, Matthew |
| author_facet | Spong, Matthew |
| contents | Following an outline of Rezk, we give a construction of complex-analytic $G$-equivariant elliptic cohomology for an arbitrary compact Lie group $G$ and we prove some of its fundamental properties. The construction is parametrised over the orbit category of the groupoid of principal $G$-bundles over 2-dimensional tori and generalises Grojnowski's construction of equivariant elliptic cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18505 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant elliptic cohomology and the 2-loop groupoid Spong, Matthew Algebraic Topology 55N34 Following an outline of Rezk, we give a construction of complex-analytic $G$-equivariant elliptic cohomology for an arbitrary compact Lie group $G$ and we prove some of its fundamental properties. The construction is parametrised over the orbit category of the groupoid of principal $G$-bundles over 2-dimensional tori and generalises Grojnowski's construction of equivariant elliptic cohomology. |
| title | Equivariant elliptic cohomology and the 2-loop groupoid |
| topic | Algebraic Topology 55N34 |
| url | https://arxiv.org/abs/2405.18505 |