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arXiv · 2509.26392

Manifolds and Disc-presheaves

Alexander Kupers
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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.

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Alexander Kupers. 2025-09-30. Manifolds and Disc-presheaves. https://arxiv.org/abs/2509.26392

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