6 citations · 21 across the 11 of their papers we have counts for
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math.SG2009★ 1 cited
On the Maslov class rigidity for coisotropic submanifolds
Viktor L. Ginzburg
We define the Maslov index of a loop tangent to the characteristic foliation of a coisotropic submanifold as the mean Conley--Zehnder index of a path in the group of linear symplec…
math.SG2009★ 3 cited
On the Generic Existence of Periodic Orbits in Hamiltonian Dynamics
Viktor L. Ginzburg, Basak Z. Gurel
We prove several generic existence results for infinitely many periodic orbits of Hamiltonian diffeomorphisms or Reeb flows. For instance, we show that a Hamiltonian diffeomorphism…
math.SG2009★ 2 cited
Homological Resonances for Hamiltonian Diffeomorphisms and Reeb Flows
Viktor L. Ginzburg, Ely Kerman
We show that whenever a Hamiltonian diffeomorphism or a Reeb flow has a finite number of periodic orbits, the mean indices of these orbits must satisfy a resonance relation, provid…