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Differential Characters on Orbifolds and String Connections I

Ernesto Lupercio, Bernardo Uribe

math.DGarXiv:math/0311008

Abstract

In this paper we introduce the Cheeger-Simons cohomology of a global quotient orbifold. We prove that the Cheeger-Simons cohomology of the orbifold is isomorphic to its Beilinson-Deligne cohomology. Furthermore we construct a string connection (à la Segal) from a global gerbe with connection over the loop orbifold, refining the corresponding differential character.

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