Superconnections, twisted actions and positive scalar curvature

Details Superconnections, twisted actions and positive scalar curvature Superconnections, twisted actions and positive scalar curvature

1999-06-21

arxiv.org/abs/math/9906136v2

Mathematics

Differential Geometry

13 pages, preprint March 1999. Minor changes made: a definition on page 8 and a notation on page 9 & 10. Postscript file can b

Scientific paper

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.

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