Floer homology for negative line bundles and Reeb chords in pre-quantization spaces

Published 27 Aug 2008 in math.SG and math.DG | (0808.3634v2)

Abstract: In this article we prove existence of Reeb orbits for Bohr-Sommerfeld Legendrians in certain pre-quantization spaces. We give a quantitative estimate from below. These estimates are obtained by studying Floer homology for fibre-wise quadratic Hamiltonian functions on negative line bundles.

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