Andy Sanders
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Showing 5 out of a possible 7 Publications
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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
