3 papers
math.DG2025
On Hitchin's equations for cyclic G-Higgs bundles
Nathaniel Sagman, Ognjen ToÅ¡iÄ
We develop a Lie-theoretic perspective on Hitchin's equations for cyclic -Higgs bundles, which we use to study analytic and geometric properties of harmonic maps. Among other th…
math.DG2025
Constant energy families of harmonic maps
Ognjen ToÅ¡iÄ
For a negatively curved manifold and a continuous map from a closed surface , we study complex submanifolds of Teichmüller space $\mathcal{S}\subset\mathcal{T…
math.AG2024
Derivative of the Riemann-Hilbert map
Vladimir MarkoviÄ, Ognjen ToÅ¡iÄ
Given a pair , consisting of a closed Riemann surface and a holomorphic connection on the trivial principal bundle ,…