Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256597 | Physica D: Nonlinear Phenomena | 2012 | 13 Pages |
Abstract
⺠We study certain symplectic leaves in the Poisson algebra of Stokes matrices. ⺠This Poisson algebra is given by the Dubrovin-Ugaglia bracket. ⺠This coincides with the Goldman bracket in the Teichmüller theory. ⺠We prove that the Teichmüller spaces belong to degenerated symplectic leaves. ⺠Their complex dimension is equal to the real dimension of the Teichmüller space.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Leonid Chekhov, Marta Mazzocco,