7 papers
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…
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.
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…
An explicit isomorphism between Floer homology and quantum homology
Guangcun Lu
We use Liu-Tian's virtual moduli cycle methods to construct detailedly the explicit isomorphism between Floer homology and quantum homology for any closed symplectic manifold that…
The Weinstein conjecture in the uniruled manifolds
Guangcun Lu
In this note we prove the Weinstein conjecture for a class of symplectic manifolds including the uniruled manifolds based on Liu-Tian's result.
Periodic motion of a charge on a manifold in the magnetic fields
Guangcun Lu
In this paper we prove the existence of a periodic motion of a charge on a large class of manifolds under the action of the magnetic fields. Our methods also give a class of closed…