11 citations · 36 across the 7 of their papers we have counts for
8 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…
(G,P)-opers and global Slodowy slices
Brian Collier, Andrew Sanders
In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P<G. For parabolic subgroups associated to even nilpotents, we parameterize (G,P)-opers by…
The pre-symplectic geometry of opers and the holonomy map
Andrew Sanders
In this paper, we construct the moduli space of marked oper structures on a closed, oriented smooth surface of negative Euler characteristic as a holomorphic fiber bundle over Teic…
Bi-Lagrangian structures and Teichmüller theory
Brice Loustau, Andrew Sanders
In this paper, we review or introduce several differential structures on manifolds in the general setting of real and complex differential geometry, and apply this study to Teichmü…
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…
Hitchin harmonic maps are immersions
Andrew Sanders
In 1992, Hitchin used his theory of Higgs bundles to construct an important family of representations of the fundamental group of a closed, oriented surface of genus at least two i…
Entropy, minimal surfaces, and negatively curved manifolds
Andrew Sanders
In 2004, Taubes introduced the space of minimal hyperbolic germs with elements consisting of the first and second fundamental form of an equivariant immersed minimal disk in hyperb…
Domains of discontinuity for almost-Fuchsian Groups
Andrew Sanders
An almost-Fuchsian group is a quasi-Fuchsian group such that the quotient hyperbolic manifold contains a closed incompressible minimal surface with principal curvatures contained i…