39 citations · 177 across the 17 of their papers we have counts for
18 papers
Higgs bundle, isomonodromic leaves and minimal surfaces
Brian Collier, Jérémy Toulisse, Richard Wentworth
In this paper we give a gauge theoretic construction of the joint moduli space of stable G-Higgs bundles on closed Riemann surfaces, where the Riemann surface structure is allowed…
Conformal limits for parabolic SL(n,C)-Higgs bundles
Brian Collier, Laura Fredrickson, Richard Wentworth
In this paper we generalize the conformal limit correspondence between Higgs bundles and holomorphic connections to the parabolic setting. Under mild genericity assumptions on the…
Holomorphic curves in the 6-pseudosphere and cyclic surfaces
Brian Collier, Jérémy Toulisse
The space of vectors of norm -1 in has a natural pseudo-Riemannian metric and a compatible almost complex structure. The group of automorphism…
Arakelov-Milnor inequalities and maximal variations of Hodge structure
Olivier Biquard, Brian Collier, Oscar Garcia-Prada +1
In this paper we study the -fixed points in moduli spaces of Higgs bundles over a compact Riemann surface for a complex semisimple Lie group and its real forms. These…
A general Cayley correspondence and higher Teichmüller spaces
Steve Bradlow, Brian Collier, Oscar Garcia-Prada +2
We introduce a new class of -triples in a complex simple Lie algebra , which we call magical. Such an -triple canonically defines a…
(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…