3 citations · 6 across the 4 of their papers we have counts for
4 papers
On the quantum homology algebra of toric Fano manifolds
Yaron Ostrover, Ilya Tyomkin
In this paper we study certain algebraic properties of the quantum homology algebra for the class of symplectic toric Fano manifolds. In particular, we examine the semi-simplicity…
A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains
Shiri Artstein-Avidan, Yaron Ostrover
In this work we prove a Brunn-Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications.
On the extremality of Hofer's metric on the group of Hamiltonian diffeomorphisms
Yaron Ostrover, Roy Wagner
Let M be a closed symplectic manifold, and let | | be a norm on the space of all smooth functions on M, which are zero-mean normalized with respect to the canonical volume form. We…
A Comparison of Hofer's Metrics on Hamiltonian Diffeomorphisms and Lagrangian Submanifolds
Yaron Ostrover
We compare Hofer's geometries on two spaces associated with a closed symplectic manifold M. The first space is the group of Hamiltonian diffeomorphisms. The second space L consists…