Floer homology for negative line bundles and Reeb chords in pre-quantization spaces
arXiv:0808.3634 · doi:10.3934/jmd.2009.3.407
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.
46 pages, 2 figures; v2: major revision