Differential orbifold K-Theory

Details Differential orbifold K-Theory Differential orbifold K-Theory

2009-05-26

arxiv.org/abs/0905.4181v3

Mathematics

K-Theory and Homology

75 pages, major changes and additional details in the exposition following suggestions and complaints of the referee

Scientific paper

We construct differential equivariant K-theory of representable smooth orbifolds as a ring valued functor with the usual properties of a differential extension of a cohomology theory. For proper submersions (with smooth fibres) we construct a push-forward map in differential equivariant K-theory. Finally, we construct a non-degenerate intersection pairing with values in C/Z for the subclass of smooth orbifolds which can be written as global quotients by a finite group action. We construct a real subfunctor of our theory, where the pairing restricts to a non-degenerate R/Z-valued pairing.

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