58 citations · 201 across the 18 of their papers we have counts for
19 papers · 1 filter
ALG gravitational instantons and Hitchin moduli spaces, I: Torelli parameters
Laura Fredrickson, Rafe Mazzeo, Jan Swoboda +1
This is the first of two papers which together prove that the -parameter family of parabolic -Hitchin moduli spaces on the four-punctured sphere are all ALG gravitationa…
Transgressive Harmonic Maps and SU(1,1) Self-Duality Solutions
Sebastian Heller, Lothar Schiemanowski, Hartmut Weiss
We establish a duality between harmonic maps from Riemann surfaces to hyperbolic 3-space and harmonic maps from Riemann surfaces to de Sitter three-space $\operatorn…
Asymptotic Geometry of the Moduli Space of Parabolic -Higgs Bundles
Laura Fredrickson, Rafe Mazzeo, Jan Swoboda +1
Given a generic stable strongly parabolic -Higgs bundle , we describe the family of harmonic metrics for the ray of Higgs bundles $(\mathc…
Homogeneous spinor flow
Marco Freibert, Lothar Schiemanowski, Hartmut Weiss
We study the spinor flow on homogeneous spin manifolds. After providing the general setup we discuss the homogeneous spinor flow in dimension 3 and on almost abelian Lie groups in…
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…
Teichmüller theory for conic surfaces
Rafe Mazzeo, Hartmut Weiss
In this paper we develop a systematic deformation theory for conic constant curvature metrics on a closed surface when all cone angles are less than ; in particular, we define…
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…
Energy functionals and soliton equations for G_2-forms
Hartmut Weiss, Frederik Witt
We extend short-time existence and stability of the Dirichlet energy flow as proven in a previous paper by the authors to a broader class of energy functionals. Furthermore, we der…
Complex twist flows on surface group representations and the local shape of the deformation space of hyperbolic cone-3-manifolds
Grégoire Montcouquiol, Hartmut Weiß
In two former papers, the authors independently proved that the space of hyperbolic cone-3-manifolds with cone angles less than 2π and fixed singular locus is locally parametrized…
A heat flow for special metrics
Hartmut Weiss, Frederik Witt
On the space of positive 3-forms on a seven-manifold, we study a natural functional whose critical points induce metrics with holonomy contained in . We prove short-time exist…
The variation formulas for the equivariant Ray-Singer metric
Hartmut Weiss
We give a new and detailed proof of the variation formulas for the equivariant Ray-Singer metric, which are originally due to J.M. Bismut and W. Zhang.
The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than
Hartmut Weiss
We develop the deformation theory of hyperbolic cone-3-manifolds with cone-angles less than , i.e. contained in the interval . In the present paper we focus on deformat…
The Laplacian on hyperbolic 3-manifolds with Dehn surgery type singularities
Frank Pfaeffle, Hartmut Weiss
We study the spectrum of the Laplacian on hyperbolic 3-manifolds with Dehn surgery type singularities and its dependence on the generalized Dehn surgery coefficients.
Local rigidity of 3-dimensional cone-manifolds
Hartmut Weiss
We investigate the local deformation space of 3-dimensional cone-manifold structures of constant curvature and cone-angles . Under this assumption on the…
Global rigidity of 3-dimensional cone-manifolds
Hartmut Weiss
We prove global rigidity for compact hyperbolic and spherical cone-3-manifolds with cone-angles (which are not Seifert fibered in the spherical case), furthermore for a cl…