arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1909.08699math.DG
收藏

Orbifolds介绍

Introduction to orbifolds

Francisco C. Caramello

摘要:

我们介绍orbifolds从经典的角度来看,使用图表,并提出orbifold版本的基本对象从代数拓扑,如基本群,覆盖和欧拉示性数;微分拓扑/几何,包括orbibundles,微分形式,整合和(等变)德拉姆上同调;和黎曼几何,调查概括的经典定理,这一设置。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑