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arXiv · 2503.20818

The Pontryagin-Thom theorem for families of framed equivariant manifolds

Lucas Williams
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Abstract

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.

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Lucas Williams. 2025-03-25. The Pontryagin-Thom theorem for families of framed equivariant manifolds. https://arxiv.org/abs/2503.20818

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