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arXiv · 0704.1039

Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces

Frédéric Bourgeois·Alexandru Oancea
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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 linearized contact homology of a fillable contact manifold and symplectic homology of its filling.

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Frédéric Bourgeois, Alexandru Oancea. 2008-04-30. Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces. https://arxiv.org/abs/0704.1039

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