Proof of the index conjecture in Hofer geometry

Yasha Savelyev
2013 Mathematical Research Letters  
Let γ be an Ustilovsky geodesic and H its generating function. We give a simple proof of a generalization of the conjecture stated in [7] , relating the Morse index of γ, as a critical point of the Hofer length functional, with the Conley Zehnder index of the extremizers of H, considered as periodic orbits.
doi:10.4310/mrl.2013.v20.n5.a13 fatcat:bx4l4gbwg5c7pifhvkk4sjkiti