An Explicit Isomorphism in $\mathbb{R}/\mathbb{Z}$-K-Homology

Authors

  • Adnane Elmrabty Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra
  • Mohamed Maghfoul Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra

DOI:

https://doi.org/10.26713/cma.v5i2.241

Keywords:

Spin$^c$-manifold, Chern character, $\mathbb{R}/\mathbb{Z}$-K-homology

Abstract

In this paper, we construct an explicit isomorphism between the at part of differential K-homology and the Deeley $\mathbb{R}/\mathbb{Z}$-K-homology.

Downloads

Download data is not yet available.

References

P. Baum and R. Douglas, K-homology and index theory, Operator Algebras and Applications, Proceedings of Symposia in Pure Math., vol. 38, Amer. Math. Soc., Providence, RI, 1982, pp. 117-

R. Deeley,$mathbb{R}/mathbb{Z}$-valued index theory via geometric K-homology, 2012, 29 pages (to appear in Munster Journal of Mathematics).

A. Elmrabty and M. Maghfoul, A geometric model for differential K-homology, Gen. Math. Notes 2014; 21(2): 14-36.

J. Lott, $mathbb{R}/mathbb{Z}$ index theory, Comm. Anal. Geom. 1994; 2(2): 279-311.

R.M.G. Reis and R.J. Szabo, Geometric K-Homology of Flat DBranes, Comm. Math. Phys. 2006; 266: 71-122.

M. Walter, Equivariant geometric K-homology with coeffcients, Diplomarbeit University of G"ottingen 2010.

Downloads

Published

30-10-2014
CITATION

How to Cite

Elmrabty, A., & Maghfoul, M. (2014). An Explicit Isomorphism in $\mathbb{R}/\mathbb{Z}$-K-Homology. Communications in Mathematics and Applications, 5(2), 73–81. https://doi.org/10.26713/cma.v5i2.241

Issue

Vol. 5 No. 2 (2014)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.