Morava $J$-invariant
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866908057521356800 |
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| author | Geldhauser, Nikita Lavrenov, Andrei Petrov, Victor Sechin, Pavel |
| author_facet | Geldhauser, Nikita Lavrenov, Andrei Petrov, Victor Sechin, Pavel |
| contents | We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of the $J$-invariant in terms of the ordinary (Chow) $J$-invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14099 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Morava $J$-invariant Geldhauser, Nikita Lavrenov, Andrei Petrov, Victor Sechin, Pavel K-Theory and Homology 20G15, 14C15 We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of the $J$-invariant in terms of the ordinary (Chow) $J$-invariant. |
| title | Morava $J$-invariant |
| topic | K-Theory and Homology 20G15, 14C15 |
| url | https://arxiv.org/abs/2409.14099 |