The Geometry of Orbifolds via Lie Groupoids

2013/09/24 by Amenta, Alexander
#22A22 (Secondary) #57R18 (Primary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1309.6367

Abstract

The purpose of this thesis is to use the language of orbifold groupoids to describe the geometry and topology of orbifolds, highlighting advantages and disadvantages of this language as they arise.

Related

• Orbifolds as Groupoids: an Introduction
• Stringy Geometry and Topology of Orbifolds
• Introduction to orbifolds
• Orbispaces and Orbifolds from the Point of View of the Borel Construction, a new Definition
• Orbifolds, geometric structures and foliations. Applications to harmonic maps