92 citations · 408 across the 19 of their papers we have counts for
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Asymptotic Geometry of the Hitchin Metric
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We study the asymptotics of the natural metric on the Hitchin moduli space with group . Our main result, which addresses a detailed conjectural picture ma…
Holonomy rigidity for Ricci-flat metrics
Bernd Ammann, Klaus Kroencke, Hartmut Weiss +1
On a closed connected oriented manifold we study the space of all Riemannian metrics which admit a non-zero parallel spinor on the universal covering. Such…
Limiting configurations for solutions of Hitchin's equation
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We review recent work on the compactification of the moduli space of Hitchin's self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set…
The spinorial energy functional on surfaces
Bernd Ammann, Hartmut Weiss, Frederik Witt
This is a companion paper to arXiv:1207.3529 where we introduced the spinorial energy functional and studied its main properties in dimensions equal or greater than three. In this…
Ends of the moduli space of Higgs bundles
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We associate to each stable Higgs pair on a compact Riemann surface a singular limiting configuration , assuming that has only simple…
A spinorial energy functional: critical points and gradient flow
Bernd Ammann, Hartmut Weiss, Frederik Witt
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dim M \geq 3, are precisely the pairs (g, ϕ) consisting of a Ricci-flat Riema…