Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds

Details Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds

2001-10-18

arxiv.org/abs/math/0110207v3

Mathematics

Algebraic Topology

Revised version. 23 pages. To appear in "Madison Orbifolds", Contemp. Math

Scientific paper

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.

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