Floer homology for negative line bundles and Reeb chords in   pre-quantization spaces
  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. 
Peter Albers, Urs Frauenfelder