Manifolds and Disc-presheaves
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912618291134464 |
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| author | Kupers, Alexander |
| author_facet | Kupers, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Manifolds and Disc-presheaves Kupers, Alexander Algebraic Topology Geometric Topology 18F50, 57R40, 57S05 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. |
| title | Manifolds and Disc-presheaves |
| topic | Algebraic Topology Geometric Topology 18F50, 57R40, 57S05 |
| url | https://arxiv.org/abs/2509.26392 |