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Symplectic Capacities of Toric Manifolds and Related Results

Published online by Cambridge University Press:  11 January 2016

Guangcun Lu
Guangcun Lu*
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing, 100875, P. R. of China gclu@bnu.edu.cn
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Abstract

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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.

Keywords

53D3537J4552B20

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 181 , March 2006 , pp. 149 - 184
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2006

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