Adelic Descent for Equivariant Elliptic Cohomology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913243010695168 |
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| author | Tomasini, Paolo |
| author_facet | Tomasini, Paolo |
| contents | We define $k$-rationalized $G$-equivariant elliptic cohomology, for a field of characteristic zero $k$ and a compact Lie group $G$, via adelic descent. We also give adelic descriptions of rationalized $G$-equivariant singular cohomology and K-theory. This completes a program first proposed by Roşu. These descriptions are then used to obtain comparison results with periodic cyclic homology theories defined via derived algebraic geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09598 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Adelic Descent for Equivariant Elliptic Cohomology Tomasini, Paolo Algebraic Topology Algebraic Geometry We define $k$-rationalized $G$-equivariant elliptic cohomology, for a field of characteristic zero $k$ and a compact Lie group $G$, via adelic descent. We also give adelic descriptions of rationalized $G$-equivariant singular cohomology and K-theory. This completes a program first proposed by Roşu. These descriptions are then used to obtain comparison results with periodic cyclic homology theories defined via derived algebraic geometry. |
| title | Adelic Descent for Equivariant Elliptic Cohomology |
| topic | Algebraic Topology Algebraic Geometry |
| url | https://arxiv.org/abs/2310.09598 |