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Darboux coordinates for symplectic groupoid

M. Shapiroab

a Michigan State University
b National Research University "Higher School of Economics", Moscow



Abstract: We explain construction of Darboux coordinates for generic symplectic leaves of the groupoid of unipotent upper triangular matrices using Fock-Goncharov coordinates for framed moduli space of flat connections and express the braid group action as a sequence of cluster mutations.
This is a joint project with L. Chekhov.

Language: English


© Steklov Math. Inst. of RAS, 2024