19 citations · 72 across the 16 of their papers we have counts for
16 papers
Uniformization of compact complex manifolds by Anosov representations
David Dumas, Andrew Sanders
We study uniformization problems for compact manifolds that arise as quotients of domains in complex flag varieties by images of Anosov homomorphisms. We focus on Anosov homomorphi…
Opers and nonabelian Hodge: numerical studies
Emily Dumas, Andrew Neitzke
We present numerical experiments that test the predictions of a conjecture of Gaiotto-Moore-Neitzke and Gaiotto concerning the monodromy map for opers, the nonabelian Hodge corresp…
Asymptotics of Hitchin's metric on the Hitchin section
David Dumas, Andrew Neitzke
We consider Hitchin's hyperkähler metric on the moduli space of degree zero -Higgs bundles over a compact Riemann surface. It has been conjectured…
Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations
David Dumas, Andrew Sanders
We study the topology and geometry of compact complex manifolds associated to Anosov representations of surface groups and other hyperbolic groups in a complex semisimple Lie group…
Coarse and fine geometry of the Thurston metric
David Dumas, Anna Lenzhen, Kasra Rafi +1
We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface . Some of our results on the coarse geometry of this…
Polynomial cubic differentials and convex polygons in the projective plane
David Dumas, Michael Wolf
We construct and study a natural homeomorphism between the moduli space of polynomial cubic differentials of degree d on the complex plane and the space of projective equivalence c…