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arXiv · 1003.4236

Stacks on stratified space

Delphine Dupont
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Abstract

In this paper, we go into the study of the 2-category SSS_Σof Σ-constructible stacks. The notions of constructible stack was introduced by D. Treumann. It is a natural generalization of constructible sheaf. D. Treumann has also introduced the exit-path 2-category, which is a stratified version of the fundamental 2-groupoid and he has showed that these two 2-categories are equivalent. Our approach is different. We show the 2-equivalence between SSS_Σand a 2-category whose objects are combinatoric data of 2-representations, functors of 2-representations and isomorphisms of functors.

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Delphine Dupont. 2010-03-22. Stacks on stratified space. https://arxiv.org/abs/1003.4236

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