Deligne-Mostow theory

introduction

• Deligne and Mostow constructed a class of lattices in PU(2,1) using monodromy of hypergeometric functions. Later, Thurston reinterpreted them in terms of cone metrics on the sphere.

expositions

• Looijenga, Eduard. “Uniformization by Lauricella Functions--an Overview of the Theory of Deligne-Mostow.” arXiv:math/0507534, July 26, 2005. http://arxiv.org/abs/math/0507534.

articles

• Irene Pasquinelli, Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere, arXiv:1509.05320 [math.GT], September 17 2015, http://arxiv.org/abs/1509.05320
• Pasquinelli, Irene. “Deligne-Mostow Lattices with Three Fold Symmetry and Cone Metrics on the Sphere.” arXiv:1509.05320 [math], September 17, 2015. http://arxiv.org/abs/1509.05320.