Deligne-mostow Lattices with Three Fold Symmetry and Cone Metrics on the Sphere
نویسنده
چکیده
Deligne and Mostow constructed a class of lattices in PU(2, 1) using monodromy of hypergeometric functions. Thurston reinterpreted them in terms of cone metrics on the sphere. In this spirit we construct a fundamental domain for the lattices with three fold symmetry in the list of Deligne and Mostow. This is a generalisation of the works of Boadi and Parker and gives a different interpretation of the fundamental domain constructed by Deraux, Falbel, and Paupert.
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