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2006 Symplectic capacities of toric manifolds and related results
Guangcun Lu
Nagoya Math. J. 181: 149-184 (2006).


In this paper we give concrete estimations for the pseudo symplectic capacities of toric manifolds in combinatorial data. Some examples are given to show that our estimates can compute their pseudo symplectic capacities. As applications we also estimate the symplectic capacities of the polygon spaces. Other related results are impacts of symplectic blow-up on symplectic capacities, symplectic packings in symplectic toric manifolds, the Seshadri constant of an ample line bundle on toric manifolds, and symplectic capacities of symplectic manifolds with $S^{1}$-action.


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Guangcun Lu. "Symplectic capacities of toric manifolds and related results." Nagoya Math. J. 181 149 - 184, 2006.


Published: 2006
First available in Project Euclid: 14 March 2006

zbMATH: 1101.53054
MathSciNet: MR2210713

Primary: 37J45 , 52B20 , 53D35

Rights: Copyright © 2006 Editorial Board, Nagoya Mathematical Journal

Vol.181 • 2006
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