# Publications

What is a Publication?**7**Publications visible to you, out of a total of

**7**

**Abstract** (Expand)

Harmonic map theory is used to show that a convex cocompact surface group action on a \mathrmCAT(-1) metric space fixes a convex copy of the hyperbolic plane (i.e. the action is Fuchsian) if and only …

**Authors: **GEORGIOS DASKALOPOULOS, CHIKAKO MESE, ANDREW SANDERS, ALINA VDOVINA

**Date Published**: 1st Jul 2019

**Publication Type**: Journal

**Abstract** (Expand)

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 an object …

**Authors: **Brian Collier, Andrew Sanders

**Date Published**: 2019

**Publication Type**: Misc

**Abstract** (Expand)

Taubes [Minimal surfaces in germs of hyperbolic 3-manifolds. Proceedings of the Casson Fest, Geom. Topol. Monogr. 7 (2004), 69–100 (electronic)] introduced the space of minimal hyperbolic germs with …

**Author: **ANDREW SANDERS

**Date Published**: 1st Feb 2018

**Publication Type**: Journal

**Abstract** (Expand)

Given a connected complex semi-simple Lie group G and a Riemann surface X, a G-oper on X is a higher rank generalization of a complex projective structure on X. These objects play an important role in …

**Author: **Andrew Sanders

**Date Published**: 2018

**Publication Type**: Journal

**Abstract** (Expand)

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 in (-1,1) . We show …

**Author: **Andrew Sanders

**Date Published**: 1st Feb 2017

**Publication Type**: Journal

**Abstract** (Expand)

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 G. These manifolds …

**Authors: **David Dumas, Andrew Sanders

**Date Published**: 2017

**Publication Type**: Misc

**Abstract** (Expand)

This paper has two purposes: the first is to study several structures on manifolds in the general setting of real and complex differential geometry; the second is to apply this study to Teichmüller …

**Authors: **Brice Loustau, Andrew Sanders

**Date Published**: 2017

**Publication Type**: Misc