# Differential orbifold K-Theory - Mathematics > K-Theory and Homology

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Abstract: We construct differential equivariant K-theory of representable smoothorbifolds as a ring valued functor with the usual properties of a differentialextension of a cohomology theory. For proper submersions with smooth fibreswe construct a push-forward map in differential equivariant K-theory. Finally,we construct a non-degenerate intersection pairing with values in C-Z for thesubclass of smooth orbifolds which can be written as global quotients by afinite group action. We construct a real subfunctor of our theory, where thepairing restricts to a non-degenerate R-Z-valued pairing.

Author: ** Ulrich Bunke Regensburg, Thomas Schick Georg-August-Universität Göttingen**

Source: https://arxiv.org/