Modular Operads and Moduli Spaces of $k$-Higgs Bundles

There is already a generalized description of classes of moduli spaces of geometric structures on surfaces by Giansiracusa. That description includes moduli of spin surfaces, $r$-spin surfaces, surfaces with a principal G-bundle, surfaces with maps to a background space, among others. Here, we want to compute the homotopy groups of the moduli spaces of $k$-Higgs bundles, with the modular operads as main tool, and then, compare them with the results of Hausel and the results of Joint work with Jesús E. Sánchez Guevara.

Date and Venue

Start Date
Room 1.09
End Date


Ronald Zúñiga-Rojas

Speaker's Institution

Universidad de Costa Rica



Geometry and Topology