Introduction to orbifolds
Differential Geometry
2022-04-13 v6
Abstract
We introduce orbifolds from the classical point of view, using charts, and present orbifold versions of elementary objects from Algebraic Topology, such as the fundamental group, coverings and Euler characteristic; Differential Topology/Geometry, including orbibundles, differential forms, integration and (equivariant) De Rham cohomology; and Riemannian Geometry, surveying generalizations of classical theorems to this setting.
Cite
@article{arxiv.1909.08699,
title = {Introduction to orbifolds},
author = {Francisco C. Caramello},
journal= {arXiv preprint arXiv:1909.08699},
year = {2022}
}
Comments
57 pages, 10 figures. Minor corrections