Symplectic capacities of toric manifolds and combinatorial inequalities
Using the notion of pseudo symplectic capacity of Hofer-Zehnder type introduced earlier the author gives good estimations for the Gromov symplectic width in the case of toric manifolds. For the same class of manifolds an estimation for the global Seshadri constant is obtained. All arguments are combinatorial and some combinatorial inequalities in the polytope theory are derived as by-product. The strategies of proof of the main result are only outlined.
scientific article; zbMATH DE number 1777384