45 citations · 194 across the 35 of their papers we have counts for
4 papers · 1 filter
Floer homology on the time-energy extended phase space
Alberto Abbondandolo, Will J. Merry
We show how Rabinowitz Floer homology can be seen as a standard Floer homology for fixed period Hamiltonian orbits on an extended phase space.
A systolic inequality for geodesic flows on the two-sphere
Alberto Abbondandolo, Barney Bramham, Umberto L. Hryniewicz +1
For a Riemannian metric on the two-sphere, let be the length of the shortest closed geodesic and be the length of the longest simple closed ge…
A non-squeezing theorem for convex symplectic images of the Hilbert ball
Alberto Abbondandolo, Pietro Majer
We prove that the non-squeezing theorem of Gromov holds for symplectomorphisms on an infinite-dimensional symplectic Hilbert space, under the assumption that the image of the ball…
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
Alberto Abbondandolo, Leonardo Macarini, Marco Mazzucchelli +1
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level below the Mañé critical value of the universal cover t…