Categorification of sheaf theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915613137436672 |
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| author | Stefanich, Germán |
| author_facet | Stefanich, Germán |
| contents | We discuss a systematic procedure for categorifying presentable six-functor formalisms. Our main result produces, given the input of a representation of the $\infty$-category of correspondences of an $\infty$-category with finite limits $\mathcal{C}$, a compatible sequence of representations of the $(\infty,n)$-category of correspondences of $\mathcal{C}$ for every $n \geq 1$. As an application, we explain a general recipe for constructing topological field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Categorification of sheaf theory Stefanich, Germán Algebraic Geometry Algebraic Topology Category Theory We discuss a systematic procedure for categorifying presentable six-functor formalisms. Our main result produces, given the input of a representation of the $\infty$-category of correspondences of an $\infty$-category with finite limits $\mathcal{C}$, a compatible sequence of representations of the $(\infty,n)$-category of correspondences of $\mathcal{C}$ for every $n \geq 1$. As an application, we explain a general recipe for constructing topological field theories. |
| title | Categorification of sheaf theory |
| topic | Algebraic Geometry Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2511.09553 |