6 citations · 9 across the 4 of their papers we have counts for
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math.SG2007★ 6 cited
Local Floer Homology and the Action Gap
Viktor L. Ginzburg, Basak Z. Gurel
In this paper, we study the behavior of the local Floer homology of an isolated fixed point and the growth of the action gap under iterations. To be more specific, we prove that an…
math.SG2007★ 1 cited
Periodic Orbits of Twisted Geodesic Flows and The Weinstein-Moser Theorem
Viktor L. Ginzburg, Basak Z. Gurel
In this paper, we establish the existence of periodic orbits of a twisted geodesic flow on all low energy levels and in all dimensions whenever the magnetic field form is symplecti…
math.SG2007
Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics
Basak Z. Gurel
In this paper we prove the Conley conjecture and the almost existence theorem in a neighborhood of a closed nowhere coisotropic submanifold under certain natural assumptions on the…