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

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

2008-08-27

arxiv.org/abs/0808.3634v2

Journal of Modern Dynamics, Volume 3, Number 3, 2009, pp. 407 - 456

Mathematics

Symplectic Geometry

46 pages, 2 figures; v2: major revision

Scientific paper

10.3934/jmd.2009.3.407

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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