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