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Gerbes over Orbifolds and Twisted K-Theory

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Abstract

In this paper we construct an explicit geometric model for the group of gerbes over an orbifold X. We show how from its curvature we can obtain its characteristic class in H 3(X) via Chern-Weil theory. For an arbitrary gerbe , a twisting K orb(X) of the orbifold K-theory of X is constructed, and shown to generalize previous twisting by Rosenberg [28], Witten [35], Atiyah-Segal [2] and Bowknegt et. al. [4] in the smooth case and by Adem-Ruan [1] for discrete torsion on an orbifold.

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Authors and Affiliations

  1. Departamento de Matemáticas, CINVESTAV, Apartado Postal, 14-740 07000, México, D.F. México

    Ernesto Lupercio

  2. Department of Mathematics, University of Michigan Ann Arbor, MI 48109, USA

    Bernardo Uribe

Authors
  1. Ernesto Lupercio
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  2. Bernardo Uribe
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Corresponding author

Correspondence to Ernesto Lupercio.

Additional information

Communicated by A. Connes

The first author was partially supported by the National Science Foundation and Conacyt-México

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Lupercio, E., Uribe, B. Gerbes over Orbifolds and Twisted K-Theory. Commun. Math. Phys. 245, 449–489 (2004). https://doi.org/10.1007/s00220-003-1035-x

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  • DOI: https://doi.org/10.1007/s00220-003-1035-x

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