Brian Collier

activity

20152019

most citedMaximal Sp(4,R) surface group representations, minimal immersions and cyclic surfaces

8 citations · 15 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2019

(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…

math.DG2017★ 7 cited

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 $g \geq 2$ into the Lie group SO(n,n+1) using Higgs bundles. For each integer…

math.DG2015★ 8 cited

Maximal Sp(4,R) surface group representations, minimal immersions and cyclic surfaces

Brian Collier

Let $S$ be a closed surface of genus at least $2$ . For each maximal representation $ρ : π_{1} (S) \to Sp (4, R)$ in one of the $2 g - 3$ exceptional connected compon…