Commensurators of geometrically rigid residually finite hyperbolic groups have bounded average distortion.
Michigan Math
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Branched covers of hyperbolic groups along quasiconvex subgroups are defined and realized through deep Dehn fillings, generalizing 3-manifold constructions and potentially producing spherical-boundary examples.
Explicit Fefferman-Szegő metric on egg domains D_{2m} is Kähler-Einstein and proportional to Bergman metric iff m=1.
Survey of known results on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, including upper bounds under curvature assumptions and rigidity theorems.
citing papers explorer
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Average Distortion of Commensurators of Hyperbolic Groups
Commensurators of geometrically rigid residually finite hyperbolic groups have bounded average distortion.
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Branched Covers of Hyperbolic Groups
Branched covers of hyperbolic groups along quasiconvex subgroups are defined and realized through deep Dehn fillings, generalizing 3-manifold constructions and potentially producing spherical-boundary examples.