Polyhedral products in abstract and motivic homotopy theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913481583755264 |
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| author | Hornslien, William |
| author_facet | Hornslien, William |
| contents | We introduce polyhedral products in an $\infty$-categorical setting. We generalize a splitting result by Bahri, Bendersky, Cohen, and Gitler that determines the stable homotopy type of the a polyhedral product. We also introduce a motivic refinement of moment-angle complexes and use the splitting result to compute cellular $\mathbb{A}^1$-homology, and $\mathbb{A}^1$-Euler characteristics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polyhedral products in abstract and motivic homotopy theory Hornslien, William Algebraic Topology Algebraic Geometry 14F42, 57S12, 55P40, We introduce polyhedral products in an $\infty$-categorical setting. We generalize a splitting result by Bahri, Bendersky, Cohen, and Gitler that determines the stable homotopy type of the a polyhedral product. We also introduce a motivic refinement of moment-angle complexes and use the splitting result to compute cellular $\mathbb{A}^1$-homology, and $\mathbb{A}^1$-Euler characteristics. |
| title | Polyhedral products in abstract and motivic homotopy theory |
| topic | Algebraic Topology Algebraic Geometry 14F42, 57S12, 55P40, |
| url | https://arxiv.org/abs/2406.13540 |