Math Papers

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Symplectic Homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
joint work with Alexandru Oancea,
Duke Mathematical Journal 146 (2009) no 1, 71-174.

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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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This paper appeared in Duke Mathematical Journal.

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