The Goodwillie calculus of polyhedral products
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910326933422080 |
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| author | Boyde, Guy Taggart, Niall |
| author_facet | Boyde, Guy Taggart, Niall |
| contents | We describe the Goodwillie calculus of polyhedral products in the case that the fat wedge filtration on the associated real moment-angle complex is trivial. We do this by analysing the behaviour on calculus of the Denham-Suciu fibre sequence, the Iriye-Kishimoto decomposition of the polyhedral product constructed from a collection of pairs of cones and their bases, and the Hilton-Milnor decomposition. As a corollary we show that the Goodwillie calculus of these polyhedral products converges integrally and diverges in $v_h$-periodic homotopy unless the simplicial complex is a full simplex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Goodwillie calculus of polyhedral products Boyde, Guy Taggart, Niall Algebraic Topology 57S12, 18F50, 55P60 We describe the Goodwillie calculus of polyhedral products in the case that the fat wedge filtration on the associated real moment-angle complex is trivial. We do this by analysing the behaviour on calculus of the Denham-Suciu fibre sequence, the Iriye-Kishimoto decomposition of the polyhedral product constructed from a collection of pairs of cones and their bases, and the Hilton-Milnor decomposition. As a corollary we show that the Goodwillie calculus of these polyhedral products converges integrally and diverges in $v_h$-periodic homotopy unless the simplicial complex is a full simplex. |
| title | The Goodwillie calculus of polyhedral products |
| topic | Algebraic Topology 57S12, 18F50, 55P60 |
| url | https://arxiv.org/abs/2402.07774 |