Differential orbifold K-theory

Bunke, Ulrich and Schick, Thomas (2013) Differential orbifold K-theory. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 7 (4). pp. 1027-1104. ISSN 1661-6952, 1661-6960

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Abstract

We construct differential 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 orbifold 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.

Item Type: Article
Uncontrolled Keywords: COHOMOLOGY THEORIES; STACKS; Differential K-theory; equivariant differential K-theory; orbifold; push-forward in differential K-theory; localization in equivariant differential K-theory
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 28 Apr 2020 12:52
Last Modified: 28 Apr 2020 12:52
URI: https://pred.uni-regensburg.de/id/eprint/17327

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