Infinitely many leaf-wise intersections on cotangent bundles
arXiv:0812.4426 · doi:10.1016/j.exmath.2012.01.005
Abstract
If the homology of the free loop space of a closed manifold B is infinite dimensional then generically there exist infinitely many leaf-wise intersection points for fiber-wise star-shaped hypersurfaces in T*B.
7 pages, 1 figure; v2: completely rewritten, improved results
References in corpus (8)
- Leaf-wise intersections and Rabinowitz Floer homology
- The contact geometry of the restricted 3-body problem
- Rabinowitz Floer homology: A survey
- Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations
- Existence of leafwise intersection points in the unrestricted case
- Coisotropic Submanifolds, Leafwise Fixed Points, and Presymplectic Embeddings
- Leafwise Coisotropic Intersections
- Survival of infinitely many critical points for the Rabinowitz action functional
Cited by in corpus (14)
- Rabinowitz Floer homology: A survey
- On iterated translated points for contactomorphisms of R^{2n+1} and R^{2n} x S^1
- Cup-length estimates for leaf-wise intersections
- Translated points and Rabinowitz Floer homology
- Non-displaceable contact embeddings and infinitely many leaf-wise intersections
- Existence of leafwise intersection points in the unrestricted case
- Leafwise Coisotropic Intersections
- Generalized Rabinowitz Floer homology and coisotropic intersections
- On the Rabinowitz Floer homology of twisted cotangent bundles
- Hamiltonian perturbations in contact Floer homology
- Künneth Formula in Rabinowitz Floer homology
- On magnetic leaf-wise intersections
- On the Maslov class rigidity for coisotropic submanifolds
- Generating functions in symplectic and contact geometry