Noncontractible periodic orbits in cotangent bundles and Floer homology

Details Noncontractible periodic orbits in cotangent bundles and Floer homology Noncontractible periodic orbits in cotangent bundles and Floer homology

2004-10-28

arxiv.org/abs/math/0410609v1

Mathematics

Symplectic Geometry

34 pages, 10 figures, submitted 15 April 2004

Scientific paper

For every nontrivial free homotopy class $\alpha$ of loops in every closed connected Riemannian manifold $M$, we prove existence of a noncontractible 1-periodic orbit, for every compactly supported time-dependent Hamiltonian on the open unit cotangent bundle which is sufficiently large over the zero section. The proof shows that the Biran-Polterovich-Salamon capacity is finite for every closed connected Riemannian manifold and every free homotopy class of loops. This implies a dense existence theorem for periodic orbits on level hypersurfaces and, consequently, a refined version of the Weinstein conjecture: Existence of closed characteristics (one associated to each nontrivial $\alpha$) on hypersurfaces in $T^*M$ which are of contact type and contain the zero section.

Affiliated with

Also associated with

No associations

Rating

Noncontractible periodic orbits in cotangent bundles and Floer homology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noncontractible periodic orbits in cotangent bundles and Floer homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncontractible periodic orbits in cotangent bundles and Floer homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-346143