Manifolds and Disc-presheaves

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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Publication Details

Journal
ArXiv.org
Published
2025-09-30
Primary Topic
Mycotoxins in Agriculture and Food
Type
article
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article

Manifolds and Disc-presheaves

ArXiv.org
Mycotoxins in Agriculture and Food
article

Manifolds and Disc-presheaves

article en

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.

ArXiv.org
Natural Sciences and Engineering Research Council of Canada (CA)
Reduced inequalities
Openalex Percentile: Top 32%
Mycotoxins in Agriculture and Food
Open Access PDFOpenAlex
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Manifolds and Disc-presheaves · ArXiv.org (2025) | TGRS Research Map | TGRS