Generalized Rabinowitz Floer homology and coisotropic intersections
Symplectic Geometry
2013-11-28 v6 Dynamical Systems
Abstract
In this paper, we extend Rabinowitz Floer homology theory which has been established and extensively studied for hypersurfaces to coisotropic submanifolds of higher codimension. With this generalized version of Rabinowitz Floer homology theory, we explore the coisotropic intersection problem which interpolates between the Lagrangian intersection problem and the closed orbit problem. To be specific, we study the existence of leafwise intersection points on contact coisotropic submanifolds and the displaceability of stable coisotropic submanifolds.
Cite
@article{arxiv.1003.1009,
title = {Generalized Rabinowitz Floer homology and coisotropic intersections},
author = {Jungsoo Kang},
journal= {arXiv preprint arXiv:1003.1009},
year = {2013}
}
Comments
37 pages, completely rewritten, to appear in IMRN