Floer homology for negative line bundles and Reeb chords in pre-quantization spaces
Symplectic Geometry
2009-09-07 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.0808.3634,
title = {Floer homology for negative line bundles and Reeb chords in pre-quantization spaces},
author = {Peter Albers and Urs Frauenfelder},
journal= {arXiv preprint arXiv:0808.3634},
year = {2009}
}
Comments
46 pages, 2 figures; v2: major revision