1 citations · 1 across the 9 of their papers we have counts for
6 papers · 1 filter
Nonabelian Hodge theory and vector valued modular forms
Cameron Franc, Steven Rayan
We examine the relationship between nonabelian Hodge theory for Riemann surfaces and the theory of vector valued modular forms. In particular, we explain how one might use this rel…
Principal co-Higgs bundles on
Indranil Biswas, Oscar García-Prada, Jacques Hurtubise +1
For complex connected, reductive, affine, algebraic groups , we give a Lie-theoretic characterization of the semistability of principal -co-Higgs bundles on the complex proje…
The Calogero-Françoise integrable system: algebraic geometry, Higgs fields, and the inverse problem
Steven Rayan, Thomas Stanley, Jacek Szmigielski
We review the Calogero-Françoise integrable system, which is a generalization of the Camassa-Holm system. We express solutions as (twisted) Higgs bundles, in the sense of Hitchin,…
Aspects of the topology and combinatorics of Higgs bundle moduli spaces
Steven Rayan
This survey provides an introduction to basic questions and techniques surrounding the topology of the moduli space of stable Higgs bundles on a Riemann surface. Through examples,…
Geodesics on a Kerr-Newman-(anti-)de Sitter instanton
Aidan Lindberg, Steven Rayan
We study geodesics along a noncompact Kerr-Newman instanton, where the asymptotic geometry is either de Sitter or anti-de Sitter. We use first integrals for the Hamilton-Jacobi equ…
Twisted argyle quivers and Higgs bundles
Steven Rayan, Evan Sundbo
Ordinarily, quiver varieties are constructed as moduli spaces of quiver representations in the category of vector spaces. It is also natural to consider quiver representations in a…