128 citations · 363 across the 28 of their papers we have counts for
29 papers
Global properties of Higgs bundle moduli spaces
Steven Bradlow
The moduli spaces for Higgs bundles associated to real Lie groups and a closed Riemann surface have multiple connected components. This survey provides a compendium of results conc…
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…
Uniformization of branched surfaces and Higgs bundles
Indranil Biswas, Steven Bradlow, Sorin Dumitrescu +1
Given a compact Riemann surface of genus , and an effective divisor on with , there is a unique co…
Orthogonal Higgs bundles with singular spectral curves
Steven B. Bradlow, Lucas C. Branco, Laura P. Schaposnik
We examine Higgs bundles for non-compact real forms of SO(4,C) and the isogenous complex group SL(2,C)XSL(2,C). This involves a study of non-regular fibers in the corresponding Hit…
SO(p,q)-Higgs bundles and higher Teichmüller components
Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier +3
Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others a…
Exotic components of surface group representations, and their Higgs bundle avatars
Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier +3
For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topo…