Representation stability for homotopy automorphisms
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913481975922688 |
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| author | Lindell, Erik Saleh, Bashar |
| author_facet | Lindell, Erik Saleh, Bashar |
| contents | We consider in parallel pointed homotopy automorphisms of iterated wedge sums of topological spaces and boundary relative homotopy automorphisms of iterated connected sums of manifolds minus a disk. Under certain conditions on the spaces and manifolds, we prove that the rational homotopy groups of these homotopy automorphisms form finitely generated FI-modules, and thus satisfy representation stability for symmetric groups, in the sense of Church and Farb. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_11325 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Representation stability for homotopy automorphisms Lindell, Erik Saleh, Bashar Algebraic Topology 55P62 We consider in parallel pointed homotopy automorphisms of iterated wedge sums of topological spaces and boundary relative homotopy automorphisms of iterated connected sums of manifolds minus a disk. Under certain conditions on the spaces and manifolds, we prove that the rational homotopy groups of these homotopy automorphisms form finitely generated FI-modules, and thus satisfy representation stability for symmetric groups, in the sense of Church and Farb. |
| title | Representation stability for homotopy automorphisms |
| topic | Algebraic Topology 55P62 |
| url | https://arxiv.org/abs/2105.11325 |