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math.SG2003
Symplectic capacities of toric manifolds and related results
Guangcun Lu
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 com…
math.SG2001
An extension of Biran's Lagrangian barrier theorem
Guangcun Lu
We use the Gromov-Witten invariants and a nonsqueezing theorem by the author to affirm a conjecture by P.Biran on the Lagrangian barriers.
math.SG2001
Gromov-Witten invariants and pseudo symplectic capacities
Guangcun Lu
We introduce the concept of pseudo symplectic capacities which is a mild generalization of that of symplectic capacities. As a generalization of the Hofer-Zehnder capacity we const…