Manifolds and Disc-presheaves
Algebraic Topology
2025-10-01 v1 Geometric Topology
Abstract
This essay explains an approach to the study of smooth manifolds which compares them to presheaves on a category of discs, also known as embedding calculus. We highlight recent work that shows this approach has many desirable properties, as well as recent applications demonstrating its strength.
Cite
@article{arxiv.2509.26392,
title = {Manifolds and Disc-presheaves},
author = {Alexander Kupers},
journal= {arXiv preprint arXiv:2509.26392},
year = {2025}
}
Comments
20 pages, 1 figure. Contribution to the Proceedings of the 2026 ICM