A variational approach to Givental's nonlinear Maslov index

Abstract

In this article we consider a variant of Rabinowitz Floer homology in order to define a homological count of discriminant points for paths of contactomorphisms. The growth rate of this count can be seen as an analogue of Givental's nonlinear Maslov index. As an application we prove a Bott-Samelson type obstruction theorem for positive loops of contactomorphisms.

14 pages

References in corpus (1)

• Spectral Invariants in Rabinowitz Floer homology and Global Hamiltonian perturbations

Cited by in corpus (4)

• Translated points and Rabinowitz Floer homology
• $C^0$-Stability of Topological Entropy for Contactomorphisms
• Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence
• The Bott-Samelson theorem for positive Legendrian isotopies