19 citations · 116 across the 26 of their papers we have counts for
17 papers · 1 filter
Limits of Cubic Differentials and Buildings
John Loftin, Andrea Tamburelli, Michael Wolf
In the Labourie-Loftin parametrization of the Hitchin component of surface group representations into SL(3,R), we prove an asymptotic formula for holonomy along rays in terms of lo…
Plateau Problems for Maximal Surfaces in Pseudo-Hyperbolic Spaces
François Labourie, Jérémy Toulisse, Michael Wolf
We define and prove the existence of unique solutions of an asymptotic Plateau problem for spacelike maximal surfaces in the pseudo-hyperbolic space of signature (2, n): the bounda…
Higgs bundles, harmonic maps, and pleated surfaces
Andreas Ott, Jan Swoboda, Richard Wentworth +1
This paper unites the gauge-theoretic and hyperbolic-geometric perspectives on the asymptotic geometry of the character variety of SL(2,C) representations of a surface group. Speci…
Planar minimal surfaces with polynomial growth in the -symmetric space
Andrea Tamburelli, Michael Wolf
We study the asymptotic geometry of a family of conformally planar minimal surfaces with polynomial growth in the -symmetric space. We describe a homeomo…
Quadratic differentials, half-plane structures, and harmonic maps to graphs
Subhojoy Gupta, Michael Wolf
Let be a pointed Riemann surface of genus . For any integer , we parametrize the space of meromorphic quadratic differentials on with a pole of order…
Uniform Bounds for Weil-Petersson Curvatures
Michael Wolf, Yunhui Wu
We find bounds for Weil-Petersson holomorphic sectional curvature, and the Weil-Petersson curvature operator in several regimes, that do not depend on the topology of the underlyin…