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

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

2007-04-08

arxiv.org/abs/0704.1039v2

Mathematics

Symplectic Geometry

Final version, 92 pages, 7 figures, index of notations. Remark 4.9 in Version 1 is wrong. To correct it we modified the weight

Scientific paper

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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