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

Bourgeois, Frédéric; Oancea, Alexandru

Duke Math. J., Tome 146 (2009) no. 1, p. 71-174 / Harvested from Project Euclid

Résumé

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

Publié le : 2009-01-15
Classification: 53D40

@article{1229530285,
     author = {Bourgeois, Fr\'ed\'eric and Oancea, Alexandru},
     title = {Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 71-174},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1229530285}
}

Bourgeois, Frédéric; Oancea, Alexandru. Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces. Duke Math. J., Tome 146 (2009) no. 1, pp.  71-174. http://gdmltest.u-ga.fr/item/1229530285/