Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Brock, A. F."'
We give a generalization of Thurston's Bounded Image Theorem for skinning maps, which applies to pared 3-manifolds with incompressible boundary that are not necessarily acylindrical. Along the way we study properties of divergent sequences in the def
Externí odkaz:
http://arxiv.org/abs/1601.05482
Autor:
Brock, Jeffrey F., Dunfield, Nathan M.
Publikováno v:
Invent. Math. 210 (2017) 531-558
We study the relationship between two norms on the first cohomology of a hyperbolic 3-manifold: the purely topological Thurston norm and the more geometric harmonic norm. Refining recent results of Bergeron, \c{S}eng\"un, and Venkatesh as well as old
Externí odkaz:
http://arxiv.org/abs/1510.06292
Autor:
Brock, Jeffrey F., Dunfield, Nathan M.
Publikováno v:
Geom. Topol. 19 (2015) 497-523
We construct hyperbolic integer homology 3-spheres where the injectivity radius is arbitrarily large for nearly all points of the manifold. As a consequence, there exists a sequence of closed hyperbolic 3-manifolds which Benjamini-Schramm converge to
Externí odkaz:
http://arxiv.org/abs/1304.0391
We prove a continuity property for ending invariants of convergent sequences of Kleinian surface groups. We also analyze the bounded curve sets of such groups and show that their projections to non-annular subsurfaces lie a bounded Hausdorff distance
Externí odkaz:
http://arxiv.org/abs/1208.3983
Publikováno v:
Geom. Topol. 15 (2011) 1169-1224
We prove that the deformation space AH(M) of marked hyperbolic 3-manifolds homotopy equivalent to a fixed compact 3-manifold M with incompressible boundary is locally connected at minimally parabolic points. Moreover, spaces of Kleinian surface group
Externí odkaz:
http://arxiv.org/abs/0911.1432
Thurston's Ending Lamination Conjecture states that a hyperbolic 3-manifold N with finitely generated fundamental group is uniquely determined by its topological type and its end invariants. In this paper we prove this conjecture for Kleinian surface
Externí odkaz:
http://arxiv.org/abs/math/0412006
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 geometrically finite hyperbolic 3-manifolds. We prove that the conjecture obt
Externí odkaz:
http://arxiv.org/abs/math/0212189
We give an expository account of our proof that each cusp-free hyperbolic 3-manifold M with finitely generated fundamental group and incompressible ends is an algebraic limit of geometrically finite hyperbolic 3-manifolds.
Comment: 19 Pages, 2 f
Comment: 19 Pages, 2 f
Externí odkaz:
http://arxiv.org/abs/math/0210484
Autor:
Brock, Jeffrey F.
Given a closed hyperbolic 3-manifold T_\psi that fibers over the circle with monodromy \psi : S -> S, the monodromy $\psi$ determines an isometry of Teichmuller space with its Weil-Petersson metric whose translation distance ||\psi||_WP is positive.
Externí odkaz:
http://arxiv.org/abs/math/0109050
Autor:
Brock, Jeffrey F.
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 connection between Riemann surfaces and hyperbolic 3-manifolds conjecture
Externí odkaz:
http://arxiv.org/abs/math/0109048