The Pontryagin-Thom theorem for families of framed equivariant manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913796067426304 |
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| author | Williams, Lucas |
| author_facet | Williams, Lucas |
| contents | The Pontryagin-Thom theorem gives an isomorphism from the cobordism group of framed $n$-manifolds to the $n$th stable homotopy group of the sphere spectrum. In this paper, we prove the generalization of the Pontryagin-Thom theorem for families of framed equivariant manifolds parameterized over a compact base space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20818 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Pontryagin-Thom theorem for families of framed equivariant manifolds Williams, Lucas Algebraic Topology 57R85, 57R91, 55R91, 57R90 The Pontryagin-Thom theorem gives an isomorphism from the cobordism group of framed $n$-manifolds to the $n$th stable homotopy group of the sphere spectrum. In this paper, we prove the generalization of the Pontryagin-Thom theorem for families of framed equivariant manifolds parameterized over a compact base space. |
| title | The Pontryagin-Thom theorem for families of framed equivariant manifolds |
| topic | Algebraic Topology 57R85, 57R91, 55R91, 57R90 |
| url | https://arxiv.org/abs/2503.20818 |