25 citations · 30 across the 3 of their papers we have counts for
4 papers · 1 filter
Lagrangian Non-Intersections
Paul Biran
In this paper we use Floer theory to study topological restrictions on Lagrangian embeddings in closed symplectic manifolds. One of the phenomena arising from our results is ``homo…
Calabi quasimorphisms for the symplectic ball
Paul Biran, Michael Entov, Leonid Polterovich
We prove that the group of compactly supported symplectomorphisms of the standard symplectic ball admits a continuum of linearly independent real-valued homogeneous quasimorphisms.…
Geometry of symplectic intersections
Paul Biran
In this paper we survey several intersection and non-intersection phenomena appearing in the realm of symplectic topology. We discuss their implications and finally outline some ne…
Propagation in Hamiltonian dynamics and relative symplectic homology
Paul Biran, Leonid Polterovich, Dietmar Salamon
The main result asserts the existence of noncontractible periodic orbits for compactly supported time dependent Hamiltonian systems on the unit cotangent bundle of the torus or of…