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K-cycles for twisted K-homology

Published online by Cambridge University Press:  23 May 2013

Paul Baum ,
Alan Carey  and
Bai-Ling Wang
Paul Baum
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USAbaum@math.psu.edu
Alan Carey
Affiliation:
Mathematical Sciences Institute, The Australian National University, Canberra, Australiaalan.carey@anu.edu.au
Bai-Ling Wang
Affiliation:
Mathematical Sciences Institute, The Australian National University, Canberra, Australiabai-ling.wang@anu.edu.au
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Abstract

We summarise the construction of geometric cycles and their use in describing the Kasparov K-homology of a CW-complex X. When Kasparov K-homology is twisted by a degree three element of the Čech cohomology of X then there is a corresponding construction of twisted geometric cycles for the case where X is a smooth manifold however the method that was employed does not apply in the case of CW-complexes. In this article we propose a new approach to the construction of twisted geometric cycles for CW-complexes motivated by the study of D-branes in string theory.

Keywords

D-branestwisted K-theoryPrimary 19L5019K3519K36
Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 1: Nanjing Special Issue on K-theory, number theory and geometry , August 2013 , pp. 69 - 98
Copyright
Copyright © ISOPP 2013 

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