Propagation in Hamiltonian dynamics and relative symplectic homology
Biran, Paul ; Polterovich, Leonid ; Salamon, Dietmar
Duke Math. J., Tome 120 (2003) no. 3, p. 65-118 / Harvested from Project Euclid
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The main result asserts the existence of noncontractible periodic orbits for compactly supported time-dependent Hamiltonian systems on the unit cotangent bundle of the torus or of a negatively curved manifold whenever the generating Hamiltonian is sufficiently large over the zero section. The proof is based on Floer homology and on the notion of a relative symplectic capacity. Applications include results about propagation properties of sequential Hamiltonian systems, periodic orbits on hypersurfaces, Hamiltonian circle actions, and smooth Lagrangian skeletons in Stein manifolds.
Publié le : 2003-07-15
Classification:  53D40,  32Q28,  37Jxx 
@article{1082744706,
     author = {Biran, Paul and Polterovich, Leonid and Salamon, Dietmar},
     title = {Propagation in Hamiltonian dynamics and relative symplectic homology},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 65-118},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1082744706}
}

Biran, Paul; Polterovich, Leonid; Salamon, Dietmar. Propagation in Hamiltonian dynamics and relative symplectic homology. Duke Math. J., Tome 120 (2003) no. 3, pp.  65-118. http://gdmltest.u-ga.fr/item/1082744706/