Transchromatic phenomena in the equivariant slice spectral sequence
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916143926607872 |
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| author | Meier, Lennart Shi, XiaoLin Danny Zeng, Mingcong |
| author_facet | Meier, Lennart Shi, XiaoLin Danny Zeng, Mingcong |
| contents | In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectral sequences of height-$h$ and height-$(h/2)$ theories. As applications of this transchromatic phenomenon, we prove periodicity and vanishing line results for these theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transchromatic phenomena in the equivariant slice spectral sequence Meier, Lennart Shi, XiaoLin Danny Zeng, Mingcong Algebraic Topology In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectral sequences of height-$h$ and height-$(h/2)$ theories. As applications of this transchromatic phenomenon, we prove periodicity and vanishing line results for these theories. |
| title | Transchromatic phenomena in the equivariant slice spectral sequence |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2403.00741 |