A deformation of Borel equivariant homotopy
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914159183003648 |
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| author | Angelini-Knoll, Gabriel Behrens, Mark Belmont, Eva Kong, Hana Jia |
| author_facet | Angelini-Knoll, Gabriel Behrens, Mark Belmont, Eva Kong, Hana Jia |
| contents | We describe a deformation of the $\infty$-category of Borel $G$-spectra for a finite group $G$. This provides a new presentation of the $a$-complete real Artin--Tate motivic stable homotopy category when $G=C_2$ and gives a new interpretation of the $a$-completed $C_2$-effective slice spectral sequence. As a new computational tool, we present a modified Adams--Novikov spectral sequence which computes the $RO(G)$-graded Mackey functor valued homotopy of Borel $G$-spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01873 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A deformation of Borel equivariant homotopy Angelini-Knoll, Gabriel Behrens, Mark Belmont, Eva Kong, Hana Jia Algebraic Topology 55P91, 14F42, 55P42, 55T15 We describe a deformation of the $\infty$-category of Borel $G$-spectra for a finite group $G$. This provides a new presentation of the $a$-complete real Artin--Tate motivic stable homotopy category when $G=C_2$ and gives a new interpretation of the $a$-completed $C_2$-effective slice spectral sequence. As a new computational tool, we present a modified Adams--Novikov spectral sequence which computes the $RO(G)$-graded Mackey functor valued homotopy of Borel $G$-spectra. |
| title | A deformation of Borel equivariant homotopy |
| topic | Algebraic Topology 55P91, 14F42, 55P42, 55T15 |
| url | https://arxiv.org/abs/2308.01873 |