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Title:
Symplectic grouped and log-canonical parameters for closed genus 2 surfaces.
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Abstract:
We consider the problem of finding the object of symplectic groupoid for a fixed groupoid morphism. The problem is completely solved in terms of Fock-Goncharov parametrization of the morphism. This construction leads to discovery of log-canonical parameters for Goldman Poisson bracket on the algebra of geodesic functions on Teichmueller space of closed genus 2 surfaces. This is a joint work with L.Chekhov.
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