Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields (2002)
BibTeX
@MISC{Erwin02delignecohomology,
author = {The Erwin and Schrodinger International Boltzmanngasse and Deligne Cohomology and For Orbifolds and Ernesto Lupercio and Ernesto Lupercio and Bernardo Uribe and Bernardo Uribe},
title = {Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields},
year = {2002}
}
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Abstract
In this paper we introduce the concept of Deligne cohomology of an orbifold. We prove that the third Deligne cohomology group H D ) of a smooth Étale groupoid classify gerbes with connection over the groupoid. We argue that the B-field and the discrete torsion in type II superstring theories are special kinds of gerbes with connection, and finally, for each one of them, using Deligne cohomology we construct a at line bundle over the inertia groupoid, namely a Ruan inner local system in the case of an orbifold
Citations
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