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march 2016 Differential K-homology and explicit isomorphisms between $\mathbb{R/Z}$-K-homologies
Adnane Elmrabty
Bull. Belg. Math. Soc. Simon Stevin 23(1): 1-19 (march 2016). DOI: 10.36045/bbms/1457560850

Abstract

In this paper, we construct an explicit isomorphism between Deeley $\mathbb{R}/\mathbb{Z}$-K-homology and flat K-homology. We also describe $\mathbb{R}/\mathbb{Z}$-K-homology out of $\mathbb{Z}/k\mathbb{Z}$-bordism theories.

Citation

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Adnane Elmrabty. "Differential K-homology and explicit isomorphisms between $\mathbb{R/Z}$-K-homologies." Bull. Belg. Math. Soc. Simon Stevin 23 (1) 1 - 19, march 2016. https://doi.org/10.36045/bbms/1457560850

Information

Published: march 2016
First available in Project Euclid: 9 March 2016

zbMATH: 1348.19007
MathSciNet: MR3471975
Digital Object Identifier: 10.36045/bbms/1457560850

Subjects:
Primary: 19K33
Secondary: 19L50

Keywords: $\mathbb{R/Z}$-K-homology , $Spin^c$-manifold , Chern character , differential K-theory , eta invariant , geometric K-homology

Rights: Copyright © 2016 The Belgian Mathematical Society

Vol.23 • No. 1 • march 2016
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