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Article Contents

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

• 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.
Mathematics Subject Classification: Primary: 53D40, 53D12; Secondary: 37J99.

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