Spaces of Kleinian Groups

Autor: Yair N. Minsky, Makoto Sakuma, Caroline Series

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution of many longstanding conjectures. This volume contains important expositions and original wo

Skinning bounds along thick rays

Autor: Autumn E. Kent, Yair N. Minsky, Kenneth Bromberg

Publikováno v: Journal of Topology and Analysis. 13:591-605

We show that the diameter of the skinning map of an acylindrical hyperbolic [Formula: see text]-manifold [Formula: see text] is bounded on [Formula: see text]-thick Teichmüller geodesics by a constant depending only on [Formula: see text] and the to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fcfb14b5eb55a4f1c4a412fc6c24b181
https://doi.org/10.1142/s1793525320500302

Weil-Petersson translation length and manifolds with many fibered fillings

Autor: Juan Souto, Christopher J. Leininger, Samuel J. Taylor, Yair N. Minsky

Publikováno v: Advances in Mathematics
Advances in Mathematics, Elsevier, In press, pp.107457. ⟨10.1016/j.aim.2020.107457⟩
Advances in Mathematics, Elsevier, In press
Advances in Mathematics, In press, pp.107457. ⟨10.1016/j.aim.2020.107457⟩

We prove that any mapping torus of a pseudo-Anosov mapping class with bounded normalized Weil-Petersson translation length contains a finite set of transverse and level closed curves, and drilling out this set of curves results in one of a finite num

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9be3da293c88a27efd423fa92d8841a6
https://hal.archives-ouvertes.fr/hal-02998107

Local topology in deformation spaces of hyperbolic 3-manifolds II

Autor: Kenneth Bromberg, Cyril Lecuire, Richard D. Canary, Yair N. Minsky, Jeffrey Brock

Publikováno v: Groups, Geometry, and Dynamics
Groups, Geometry, and Dynamics, 2019, 2019 (3), ⟨10.4171/GGD/504⟩
Groups, Geometry, and Dynamics, European Mathematical Society, 2019, 2019 (3), ⟨10.4171/GGD/504⟩

International audience; 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 quasiconformally rigid points.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b164af2dff74223ca4082d4c7a130b6
https://hal.science/hal-01975556

In the Tradition of Ahlfors–Bers, VII

Autor: Ara S. Basmajian, Yair N. Minsky, Alan W. Reid

The Ahlfors–Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmüller theory, hyperbolic geometry, and partial differential equations. T