4 papers
Universal Hitchin moduli spaces
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +1
We study metric aspects of the universal moduli space of solutions to Hitchin's equations as the complex structure varies over the Teichmüller space of a closed s…
Cyclic Higgs bundles and the Toledo invariant
Oscar García-Prada, Miguel González
Let be a complex semisimple Lie group and its Lie algebra. In this paper, we study a special class of cyclic Higgs bundles constructed from a -grading…
Intersection cohomology of higher rank Teichmüller components
Mathieu Ballandras, Oscar García-Prada
Exploiting the non-abelian Hodge correspondence, together with the Cayley correspondence, in this paper, we compute the intersection cohomology of certain singular higher rank Teic…
Kähler-Yang-Mills Equations and Vortices
Oscar García-Prada
The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing…