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arXiv · 2511.09553

Categorification of sheaf theory

Germán Stefanich
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Abstract

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.

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Germán Stefanich. 2025-11-12. Categorification of sheaf theory. https://arxiv.org/abs/2511.09553

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