Symplectic capacities of toric manifolds and combinatorial inequalities
type: Item
instance of: scholarly article
title: Symplectic capacities of toric manifolds and combinatorial inequalities
zbMATH Open document ID: 1013.53051
DOI: 10.1016/S1631-073X(02)02357-9
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-06-20T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53D05
zbMATH DE Number: 1777384
zbMATH Keywords: toric manifold
zbMATH Keywords: Gromov symplectic width
zbMATH Keywords: pseudo symplectic capacity
author: Guangcun Lu
reviewed by: V. S. Kalnitsky
MaRDI profile type: Publication
cites work: The topology of torus actions on symplectic manifolds. Transl. from the French by the author
cites work: Quantum Cohomology Rings of Toric Manifolds
cites work: Symplectic topology on subcritical manifolds
cites work: Q2785953
cites work: Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
cites work: Q4233904
cites work: Metric and isoperimetric problems in symplectic geometry
full work available at URL: s1631-073x(02)02357-9
OpenAlex ID: W2072786043
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description: scientific article; zbMATH DE number 1777384