nLab Fock-Goncharov coordinates

Idea

Fock-Goncharov coordinates [Fock & Goncharov 2006] are particular coordinates on moduli spaces of flat connections (of “local systems).

Reference

• Vladimir V. Fock, Alexander B. Goncharov, Moduli spaces of local systems and higher Teichmüller theory, Publ. Math. Inst. Hautes Études Sci. 103, 1-211 (2006) [arXiv:math/0311149, doi:10.1007/s10240-006-0039-4]

See also:

• Vladimir V. Fock, Alexander B. Goncharov, Cluster X-varieties, amalgamation and Poisson-Lie groups, in: Algebraic Geometry and Number Theory, Progress in Mathematics 253, Birkhäuser (2006) 27-68 [arxiv:math/0508408, doi:10.1007/978-0-8176-4532-8_2]

• Davide Gaiotto, Gregory W. Moore, Andrew Neitzke, Spectral networks and snakes, Annales Henri Poincaré (2013) [doi:10.1007/s00023-013-0238-8]