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The asymptotic expansion of Tracy-Widom GUE law and symplectic invariants
asymptotic expansion of Tracy-Widom GUE law symplectic invariants
2010/12/28
We establish the relation between two objects: an integrable system related to Painlev´e II equation, and the symplectic invariants of a certain plane curve TW. This curve describes the average...
We establish the relation between two objects: an integrable system related to Painleve II equation, and the symplectic invariants of a certain plane curve \Sigma_{TW} describing the average eigenvalu...
Higher Genus Symplectic Invariants and Sigma Model Coupled With Gravity
Symplectic Invariants Sigma Model Coupled With Gravity
2010/3/17
Higher Genus Symplectic Invariants and Sigma Model Coupled With Gravity。
Symplectic maps to projective spaces and symplectic invariants
Symplectic maps projective spaces symplectic invariants
2010/3/1
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of \CP2, we describe a new construction of maps from symplectic manifolds of any dimension to \CP2 and the...