21 citations · 37 across the 3 of their papers we have counts for
3 papers
math.RT2005★ 21 cited
Cluster X-varieties, amalgamation and Poisson-Lie groups
V. V. Fock, A. B. Goncharov
Starting from a split semisimple real Lie group G with trivial center, we define a family of varieties with additional structures. We describe them as the cluster X-varieties, as d…
math.DG2004★ 1 cited
Moduli spaces of convex projective structures on surfaces
V. V. Fock, A. B. Goncharov
We define convex projective structures on 2D surfaces with holes and investigate their moduli space. We prove that this moduli space is canonically identified with the higher Teich…
math.AG2003★ 15 cited
Moduli spaces of local systems and higher Teichmuller theory
V. V. Fock, A. B. Goncharov
Let G be a split semisimple algebraic group with trivial center. Let S be a compact oriented surface, with or without boundary. We define {\it positive} representations of the fund…