Journal of Modern Dynamics (JMD)

Floer homology for negative line bundles and Reeb chords in prequantization spaces

Pages: 407 - 456, Issue 3, July 2009      doi:10.3934/jmd.2009.3.407

       Abstract        Full Text (473.0K)       Related Articles

Peter Albers - Purdue University, Department of Mathematics, 150 N. University Street, West Lafayette, IN 47907-2067, United States (email)
Urs Frauenfelder - Department of Mathematics and Research Institute of Mathematics, Seoul National University, South Korea (email)

Abstract: We prove existence of Reeb orbits for Bohr - Sommerfeld Legendrians in certain prequantization spaces. We give a quantitative estimate from below. These estimates are obtained by studying Floer homology for fiberwise quadratic Hamiltonian functions on negative line bundles.

Keywords:  Floer homology, negative line bundles, Reeb chords, prequantization spaces.
Mathematics Subject Classification:  Primary: 53D40, 53D12; Secondary: 37J99.

Received: December 2008;      Revised: July 2009;      Available Online: August 2009.