paper

The cluster symplectic double and moduli spaces of local systems

arXiv:1509.01342 · doi:10.1090/proc/13726

Abstract

We prove a conjecture of Fock and Goncharov which provides a birational equivalence of a cluster variety called the cluster symplectic double and a certain moduli space of local systems associated to a surface.

16 pages. Version 2: Clarified definitions for surfaces with marked points

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