Cohomology at Infinity and the Well-Tempered Complex
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866909854545739776 |
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| author | Galt, Dylan McConnell, Mark |
| author_facet | Galt, Dylan McConnell, Mark |
| contents | We prove the existence of a sequence of commutative diagrams generalizing existing results on the cohomology of the Borel-Serre boundary and well-rounded retract to the context of the well-tempered complex. Our main theorem provides a method for computing in finite terms the action of Hecke operators on the equivariant cohomology of an arithmetic subgroup $Γ$ of the special linear group $SL_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_10817 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cohomology at Infinity and the Well-Tempered Complex Galt, Dylan McConnell, Mark Number Theory We prove the existence of a sequence of commutative diagrams generalizing existing results on the cohomology of the Borel-Serre boundary and well-rounded retract to the context of the well-tempered complex. Our main theorem provides a method for computing in finite terms the action of Hecke operators on the equivariant cohomology of an arithmetic subgroup $Γ$ of the special linear group $SL_n$. |
| title | Cohomology at Infinity and the Well-Tempered Complex |
| topic | Number Theory |
| url | https://arxiv.org/abs/2301.10817 |