Title of article :
A Geometric Model for Differential K-Homology
Author/Authors :
Elmrabty ، Adnane - Ibn Tofail University , Maghfoul ، Mohamed - Ibn Tofail University
Abstract :
In this paper, we construct a differential refinement of K-homology, using the (M;E^∇E; f) -picture of Baum-Douglas for K-homology and continuous currents. This leads to a geometric realization of K-homology with coefficients in R/Z and a description of Freed-Lott differential K-theory through the relative eta invariant.
Keywords :
Atiyah , Patodi , Singer index theorem , differential K , characters , differential K , theory , geometric K , homology
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes