∞ -category and some applications on orbifolds

2021/08/03 by Jiajun Dai, Dai, Jiajun
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2108.01639

openalex publication_date 2021/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is mainly about an early result that the orbifold stack is globally representable via some ∞ -categorical techniques.

Citations

• Homotopy Theory of Orbispaces

Related

• Existence of Orbifolds IV: Examples
• Categorical Theory of (∞,ω)-Categories
• A short course on ∞-categories
• On ∞-Categories
• Skew-gentle algebras and orbifolds: Oberwolfach talk, January 2020