Holonomy for gerbes over orbifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:56

Article

Uribe, Bernardo¹ 

[1] Univ Los Andes, Dept Matemat, Bogota, Colombia

关键词: gerbe;    holonomy;    string theory;    deligne cohomology;    orbifold;    Etale groupoid;    twisted K-theory;   

DOI  :  10.1016/j.geomphys.2005.08.006

来源: Elsevier

【 摘 要 】

In this paper we compute explicit formulas for the holonomy map for a gerbe with connection over an orbifold. We show that the holonomy descends to a transgression map in Deligne cohomology. We prove that this recovers both the inner local systems in Ruan's theory of twisted orbifold cohomology [1] and the local system of Freed-Hopkins-Teleman in their work in twisted K-theory [2]. In the case in which the orbifold is simply a manifold we recover previous results of Gawedzki [3] and Brylinski[4]. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free