Cohomology ring of non-compact abelian arrangements
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908751478390784 |
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| author | Bazzocchi, Evienia Pagaria, Roberto Pismataro, Maddalena |
| author_facet | Bazzocchi, Evienia Pagaria, Roberto Pismataro, Maddalena |
| contents | We give a Orlik-Solomon type presentation for the cohomology ring of arrangements in a non-compact abelian Lie group. The new insight consists in comparing arrangements in different abelian groups. Our work is based on the Varchenko-Gelfand ring for real hyperplane arrangements and from that we deduce the cohomology rings of all other abelian arrangements. As by-product, we obtain a new proof of the Orlik-Solomon relations and De Concini-Procesi ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05588 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology ring of non-compact abelian arrangements Bazzocchi, Evienia Pagaria, Roberto Pismataro, Maddalena Algebraic Topology Combinatorics 14N20, 52C35, 55R80 We give a Orlik-Solomon type presentation for the cohomology ring of arrangements in a non-compact abelian Lie group. The new insight consists in comparing arrangements in different abelian groups. Our work is based on the Varchenko-Gelfand ring for real hyperplane arrangements and from that we deduce the cohomology rings of all other abelian arrangements. As by-product, we obtain a new proof of the Orlik-Solomon relations and De Concini-Procesi ones. |
| title | Cohomology ring of non-compact abelian arrangements |
| topic | Algebraic Topology Combinatorics 14N20, 52C35, 55R80 |
| url | https://arxiv.org/abs/2404.05588 |