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20012008
most citedOn the density of geometrically finite Kleinian groups

4 citations · 10 across the 4 of their papers we have counts for

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math.GT20083 cited

Asymptotics of Weil-Petersson geodesics I: ending laminations, recurrence, and flows

Jeffrey Brock, Howard Masur, Yair Minsky

We define an ending lamination for a Weil-Petersson geodesic ray. Despite the lack of a natural visual boundary for the Weil-Petersson metric, these ending laminations provide an e…

math.GT20024 cited

On the density of geometrically finite Kleinian groups

Jeffrey F. Brock, Kenneth W. Bromberg

The density conjecture of Bers, Sullivan and Thurston predicts that each complete hyperbolic 3-manifold M with finitely generated fundamental group is an algebraic limit of geometr…

math.GT20022 cited

Tameness on the boundary and Ahlfors' measure conjecture

Jeffrey Brock, Kenneth Bromberg, Richard Evans +1

Let N be a complete hyperbolic 3-manifold that is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We show N is homeomorphic to the interior of a compact 3-manifo…

math.GT2001

Weil-Petersson translation distance and volumes of mapping tori

Jeffrey F. Brock

Given a closed hyperbolic 3-manifold T_ψthat fibers over the circle with monodromy ψ: S -> S, the monodromy determines an isometry of Teichmuller space with its Weil-Petersson…

math.GT2001

The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores

Jeffrey F. Brock

We introduce a coarse combinatorial description of the Weil-Petersson distance d_WP(X,Y) between two finite area hyperbolic Riemann surfaces X and Y. The combinatorics reveal a con…