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Superconnections, twisted actions and positive scalar curvature

Varghese Mathai
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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.

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Varghese Mathai. 1999-06-25. Superconnections, twisted actions and positive scalar curvature. https://arxiv.org/abs/math/9906136

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