Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The purpose of this paper is to introduce the notion of loop groupoid associated to a groupoid. After studying the general properties of the loop groupoid, we show how this notion provides a very natural geometric interpretation for the twisted sectors of an orbifold, and for the inner local systems introduced by Ruan by means of a natural generalization of the concept holonomy of a gerbe.
Revised version. 23 pages. To appear in "Madison Orbifolds", Contemp. Math

Keywords

Algebraic Topology, Mathematical Physics, Algebraic Geometry, 22A22

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62441

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110207
 http://arxiv.org/abs/math/0110207

Collections

arXiv