The Goodwillie calculus of polyhedral products
| Autor: | Boyde, Guy, Taggart, Niall |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 24 pages, comments welcome!! |
| Databáze: | arXiv |
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