English

The cluster symplectic double and moduli spaces of local systems

Algebraic Geometry 2019-04-30 v2 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.1509.01342,
  title  = {The cluster symplectic double and moduli spaces of local systems},
  author = {Dylan G. L. Allegretti},
  journal= {arXiv preprint arXiv:1509.01342},
  year   = {2019}
}

Comments

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