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.
510 279

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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.

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Published

October 30, 2014

Issue

Vol. 5 No. 2 (2014)

Section

Research Article

License

Creative Commons Licence 4.0 by

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