Differential Characters on Orbifolds and String Connections I

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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 (\`{a} la Segal) from a global gerbe with connection over the
loop orbifold, refining the corresponding differential character.

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