586 citations
- Centre National de la Recherche ScientifiqueFR10 papers
- Canadian Institute for Theoretical AstrophysicsCA8 papers
- University of California, BerkeleyUS7 papers
- University of Notre DameUS6 papers
- University of OxfordGB6 papers
- California Institute of TechnologyUS5 papers
- Massachusetts Institute of TechnologyUS4 papers
- Princeton UniversityUS4 papers
- The University of Texas at AustinUS4 papers
- University of British ColumbiaCA4 papers
- University of Southern CaliforniaUS4 papers
- Argonne National LaboratoryUS3 papers
8 papers · 1 filter
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
Boris Khesin, Jonatan Lenells, Gerard Misiolek
We study an equation lying `mid-way' between the periodic Hunter-Saxton and Camassa-Holm equations, and which describes evolution of rotators in liquid crystals with external magne…
Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds
Spyridon Alexakis, Rafe Mazzeo
If is a properly embedded minimal surface in a convex cocompact hyperbolic 3-manifold with boundary at infinity an embedded curve , then Graham and Witten showed how to…
Families index for manifolds with hyperbolic cusp singularities
Pierre Albin, Frederic Rochon
Manifolds with fibered hyperbolic cusp metrics include hyperbolic manifolds with cusps and locally symmetric spaces of Q-rank one. We extend Vaillant's treatment of Dirac-type oper…
Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups
Boris Khesin, Gerard Misiolek
In this note we obtain the characterization for asymptotic directions on various subgroups of the diffeomorphism group. We give a simple proof of non-existence of such directions f…
Generalized geometry and the Hodge decomposition
Marco Gualtieri
In this lecture, we review some of the concepts of generalized geometry, as introduced by Hitchin and developed in the speaker's thesis. We also prove a Hodge decomposition for the…
The equivariant cohomology of hypertoric varieties and their real loci
Megumi Harada, Tara S. Holm
Let M be a Hamiltonian T space with a proper moment map, bounded below in some component. In this setting, we give a combinatorial description of the T-equivariant cohomology of M,…