Abstract
We define Floer homology for a time-independent or autonomous Hamiltonian on a symplectic manifold with contact-type boundary under the assumption that its -periodic orbits are transversally nondegenerate. Our construction is based on Morse-Bott techniques for Floer trajectories. Our main motivation is to understand the relationship between the linearized contact homology of a fillable contact manifold and the symplectic homology of its filling
Citation
Frédéric Bourgeois. Alexandru Oancea. "Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces." Duke Math. J. 146 (1) 71 - 174, 15 January 2009. https://doi.org/10.1215/00127094-2008-062
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