The index of projective families of elliptic operators
Differential Geometry
2014-11-11 v3 High Energy Physics - Theory
Abstract
An index theory for projective families of elliptic pseudodifferential operators is developed. The topological and the analytic index of such a family both take values in twisted K-theory of the parametrizing space, X. The main result is the equality of these two notions of index when the twisting class is in the torsion subgroup of H^3(X;Z). The Chern character of the index class is then computed.
Keywords
Cite
@article{arxiv.math/0206002,
title = {The index of projective families of elliptic operators},
author = {Varghese Mathai and Richard B Melrose and Isadore M Singer},
journal= {arXiv preprint arXiv:math/0206002},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper11.abs.html