5 papers · 1 filter
Toric co-Higgs bundles on toric varieties
Indranil Biswas, Arijit Dey, Mainak Poddar +1
Starting from the data of a nonsingular complex projective toric variety, we define an associated notion of toric co-Higgs bundle. We provide a Lie-theoretic classification of thes…
Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces
Indranil Biswas, Steven Rayan
We define homogeneous principal Higgs and co-Higgs bundles over irreducible Hermitian symmetric spaces of compact type. We provide a classification for each type of object up to is…
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…
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,…
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…