Real syntomic cohomology
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908836961452032 |
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| author | Angelini-Knoll, Gabriel Kong, Hana Jia Quigley, J. D. |
| author_facet | Angelini-Knoll, Gabriel Kong, Hana Jia Quigley, J. D. |
| contents | We introduce a theory of syntomic cohomology for ring spectra with involution, which we call Real syntomic cohomology. We show that our construction extends the theory of syntomic cohomology for rings with involution due to Park. Our construction also refines syntomic cohomology as developed by Bhatt--Morrow--Scholze, Morin, Bhatt--Lurie, and Hahn--Raksit--Wilson. We compute the Real syntomic cohomology of Real topological K-theory and topological modular forms with level structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real syntomic cohomology Angelini-Knoll, Gabriel Kong, Hana Jia Quigley, J. D. Algebraic Topology K-Theory and Homology 19D55, 55Q51, 19G38, 14F30, 19D50 (Primary) 13D03, 55P91, 16W10, 55T25 (Secondary) We introduce a theory of syntomic cohomology for ring spectra with involution, which we call Real syntomic cohomology. We show that our construction extends the theory of syntomic cohomology for rings with involution due to Park. Our construction also refines syntomic cohomology as developed by Bhatt--Morrow--Scholze, Morin, Bhatt--Lurie, and Hahn--Raksit--Wilson. We compute the Real syntomic cohomology of Real topological K-theory and topological modular forms with level structure. |
| title | Real syntomic cohomology |
| topic | Algebraic Topology K-Theory and Homology 19D55, 55Q51, 19G38, 14F30, 19D50 (Primary) 13D03, 55P91, 16W10, 55T25 (Secondary) |
| url | https://arxiv.org/abs/2505.24734 |