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arXiv · 1211.5294

Gluing restricted nerves of $\infty$-categories

Yifeng Liu·Weizhe Zheng
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Abstract

In this article, we develop a general technique for gluing subcategories of $\infty$-categories. We obtain categorical equivalences between simplicial sets associated to certain multisimplicial sets. Such equivalences can be used to construct functors in different contexts. One of our results generalizes Deligne's gluing theory developed in the construction of the extraordinary pushforward operation in \'etale cohomology of schemes. Our results are applied in subsequent articles to construct Grothendieck's six operations in \'etale cohomology of Artin stacks.

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Yifeng Liu, Weizhe Zheng. 2012-11-22. Gluing restricted nerves of $\infty$-categories. https://arxiv.org/abs/1211.5294

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