8 citations · 16 across the 3 of their papers we have counts for
4 papers · 1 filter
(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…
Conformal limits and the Bialynicki-Birula stratification of the space of lambda-connections
Brian Collier, Richard Wentworth
The Bialynicki-Birula decomposition of the space of lambda-connections restricts to the Morse stratification on the moduli space of Higgs bundles and to the partial oper stratifica…
SO(n,n+1)-surface group representations and their Higgs bundles
Brian Collier
We study the character variety of representations of the fundamental group of a closed surface of genus into the Lie group SO(n,n+1) using Higgs bundles. For each integer…
Maximal Sp(4,R) surface group representations, minimal immersions and cyclic surfaces
Brian Collier
Let be a closed surface of genus at least . For each maximal representation in one of the exceptional connected compon…