Contact Homology of Orbit Complements and Implied Existence

Details Contact Homology of Orbit Complements and Implied Existence Contact Homology of Orbit Complements and Implied Existence

2010-12-07

arxiv.org/abs/1012.1386v2

Journal of Modern Dynamics (JMD), Pages: 409 - 472, Issue 3, July 2011

Mathematics

Symplectic Geometry

Section 5 was removed, as well as any assertions in the main theorems which depend on it. Changes to introduction, several typ

Scientific paper

10.3934/jmd.2011.5.409

For Reeb vector fields on closed 3-manifolds, cylindrical contact homology is used to show that the existence of a set of closed Reeb orbit with certain knotting/linking properties implies the existence of other Reeb orbits with other knotting/linking properties relative to the original set. We work out a few examples on the 3-sphere to illustrate the theory, and describe an application to closed geodesics on $S^2$ (a version of a result due to Angenent).

Affiliated with

Also associated with

No associations

Rating

Contact Homology of Orbit Complements and Implied Existence 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 Contact Homology of Orbit Complements and Implied Existence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contact Homology of Orbit Complements and Implied Existence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-479486