English

Differential Characters on Orbifolds and String Connections I

Differential Geometry 2007-05-23 v1 Algebraic Topology

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

Keywords

Cite

@article{arxiv.math/0311008,
  title  = {Differential Characters on Orbifolds and String Connections I},
  author = {Ernesto Lupercio and Bernardo Uribe},
  journal= {arXiv preprint arXiv:math/0311008},
  year   = {2007}
}