Generalized Rabinowitz Floer homology and coisotropic intersections

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.

37 pages, completely rewritten, to appear in IMRN

References in corpus (9)

• Rabinowitz Floer homology: A survey
• The Arnold-Givental conjecture and moment Floer homology
• Cup-length estimates for leaf-wise intersections
• Existence of leafwise intersection points in the unrestricted case
• Leafwise Coisotropic Intersections
• Generalized Rabinowitz Floer homology and coisotropic intersections
• A Maslov Map for Coisotropic Submanifolds, Leaf-wise Fixed Points and Presymplectic Non-Embeddings
• Coisotropic Intersections
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Cited by in corpus (4)

• Existence of leafwise intersection points in the unrestricted case
• Generalized Rabinowitz Floer homology and coisotropic intersections
• Invariance property of Morse homology on noncompact manifolds
• On the Rabinowitz Floer homology of twisted cotangent bundles