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THE SYMPLECTIC PROPERTIES OF THE PGL(n; C)-GLUING EQUATIONS
GLUING EQUATIONS SYMPLECTIC PROPERTIES
2015/12/17
In [12] we studied PGL(n; C)-representations of a 3-manifold via a generalization of Thurston's gluing equations. Neumann has proved some symplectic properties of
Thurston's gluing equations that pla...
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...
Separation of variables for symplectic characters
Separation of variables symplectic characters
2010/12/6
We perform separation of variables for the symplectic Weyl character using Sklyanin’s scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitlyconstruct the separa...