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Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
Frédéric Bourgeois and Alexandru Oancea
Source: Duke Math. J. Volume 146, Number 1
(2009), 71-174.
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 $1$-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
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1229530285
Digital Object Identifier: doi:10.1215/00127094-2008-062
Zentralblatt MATH identifier: 1158.53067
Mathematical Reviews number (MathSciNet): MR2475400
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