An algebraic model for rational excisive functors
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909925897142272 |
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| author | Barnes, David Kędziorek, Magdalena Taggart, Niall |
| author_facet | Barnes, David Kędziorek, Magdalena Taggart, Niall |
| contents | We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the analogy between endofunctors of spectra and equivariant stable homotopy theory and as a consequence, we obtain an algebraic model for rational excisive functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An algebraic model for rational excisive functors Barnes, David Kędziorek, Magdalena Taggart, Niall Algebraic Topology 18F50, 55P65, 55P91, 55P42, 55P60 We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the analogy between endofunctors of spectra and equivariant stable homotopy theory and as a consequence, we obtain an algebraic model for rational excisive functors. |
| title | An algebraic model for rational excisive functors |
| topic | Algebraic Topology 18F50, 55P65, 55P91, 55P42, 55P60 |
| url | https://arxiv.org/abs/2412.12281 |