Superconnections, twisted actions and positive scalar curvature
Differential Geometry
2012-01-20 v2 Functional Analysis
Abstract
Using Quillen's superconnection formalism we give a new "twisted" approach to the rational Gromov-Lawson-Rosenberg (GLR) conjecture on topological obstructions to the existence of Riemannian metrics of positive scalar curvature on compact spin manifolds. In particular, we present a short proof of the rational GLR conjecture for word hyperbolic groups.
Keywords
Cite
@article{arxiv.math/9906136,
title = {Superconnections, twisted actions and positive scalar curvature},
author = {Varghese Mathai},
journal= {arXiv preprint arXiv:math/9906136},
year = {2012}
}
Comments
13 pages, preprint March 1999. Minor changes made: a definition on page 8 and a notation on page 9 & 10. Postscript file can be obtained from ftp://ftp.maths.adelaide.edu.au/pure/vmathai/positivearc.ps