Orbifold K-theory and Chen-Ruan cohomology

In this paper, we construct the reduced classifying space for each orbifold, and using which, we prove that the orbifold K-theory is isomorphic to the Chen-Ruan cohomology for any compact orbifold.

Saved in:
Bibliographic Details
Published in:Topology and its applications 2022-06, Vol.315, p.108146, Article 108146
Main Author: Lin, Yiwu
Format: Article
Language:English
Subjects:
Chen-Ruan cohomology
Groupoid representation
Orbifold vector bundle
Reduced classifying space
Uniform K-theory
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we construct the reduced classifying space for each orbifold, and using which, we prove that the orbifold K-theory is isomorphic to the Chen-Ruan cohomology for any compact orbifold.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2022.108146