Superconnections, twisted actions and positive scalar curvature
arXiv:math/9906136
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.
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