A variational approach to Givental’s nonlinear Maslov index. (English) Zbl 1276.53090
Geom. Funct. Anal. 22, No. 5, 1033-1050 (2012); erratum ibid. 23, No. 1, 482-499 (2013).
Authors’ 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.
Reviewer: Alexander Felshtyn (Szczecin)
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