Geodesic flows on spheres and the local Riemann-Roch numbers

preprint2012arXivOpen access

Abstract

We calculate the local Riemann-Roch numbers of the zero sections of T∗SnT^*S^n and T∗RPnT^*\R P^n, where the local Riemann-Roch numbers are defined by using the S1S^1-bundle structure on their complements associated to the geodesic flows.

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