A parametrized Pontryagin--Thom theorem
Algebraic Topology
2026-01-08 v2 Category Theory
Geometric Topology
Abstract
We prove a space-level enhancement of the Pontryagin--Thom theorem, identifying the space of maps from a manifold to a Thom space with a moduli space of submanifolds.
Cite
@article{arxiv.2512.10274,
title = {A parametrized Pontryagin--Thom theorem},
author = {David Ayala and John Francis},
journal= {arXiv preprint arXiv:2512.10274},
year = {2026}
}
Comments
62 pages