A variational approach to Givental's nonlinear Maslov index

Details A variational approach to Givental's nonlinear Maslov index A variational approach to Givental's nonlinear Maslov index

2011-02-17

arxiv.org/abs/1102.3627v1

Mathematics

Symplectic Geometry

14 pages

Scientific paper

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.

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