Volumes of random 3-manifolds

被引：2
作者：
Viaggi, Gabriele [1 ]
机构：
[1] Heidelberg Univ, Math Inst, Neuenheimer Feld 205, D-69120 Heidelberg, Germany
来源：
JOURNAL OF TOPOLOGY | 2021年 / 14卷 / 02期
关键词：
57K32; 30F60; 20P05 (primary); KLEINIAN SURFACE GROUPS; CURVES; CLASSIFICATION; GEODESICS; DISTANCE; GEOMETRY; COMPLEX; ENDS;
D O I：
10.1112/topo.12190
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a law of large numbers for the volumes of families of random hyperbolic mapping tori and Heegaard splittings providing a sharp answer to a conjecture of Dunfield and Thurston.
引用
收藏
页码：504 / 537
页数：34
相关论文
共 48 条
  • [1] The smallest positive eigenvalue of fibered hyperbolic 3-manifolds
    Baik, Hyungryul
    Gekhtman, Ilya
    Hamenstaedt, Ursula
    [J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2020, 120 (05) : 704 - 741
  • [2] BENEDETTI R., 1992, LECT HYPERBOLIC GEOM, DOI [10.1007/978-3-642-58158-8, DOI 10.1007/978-3-642-58158-8]
  • [3] Bers L., 1960, Bull. Amer. Math. Soc., V66, P94, DOI 10.1090/S0002-9904-1960-10413-2
  • [4] Real Schwartz lemma and geometric applications
    Besson, G
    Courtois, G
    Gallot, S
    [J]. ACTA MATHEMATICA, 1999, 183 (02) : 145 - 169
  • [5] ENDS OF HYPERBOLIC MANIFOLDS OF DIMENSION-3
    BONAHON, F
    [J]. ANNALS OF MATHEMATICS, 1986, 124 (01) : 71 - 158
  • [6] Bounded combinatorics and uniform models for hyperbolic 3-manifolds
    Brock, Jeffrey
    Minsky, Yair
    Namazi, Hossein
    Souto, Juan
    [J]. JOURNAL OF TOPOLOGY, 2016, 9 (02) : 451 - 501
  • [7] Geometric inflexibility and 3-manifolds that fiber over the circle
    Brock, Jeffrey
    Bromberg, Kenneth
    [J]. JOURNAL OF TOPOLOGY, 2011, 4 (01) : 1 - 38
  • [8] Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds
    Brock, Jeffrey F.
    Bromberg, Kenneth W.
    [J]. MATHEMATICAL RESEARCH LETTERS, 2016, 23 (03) : 649 - 674
  • [9] Convergence properties of end invariants
    Brock, Jeffrey F.
    Bromberg, Kenneth W.
    Canary, Richard D.
    Minsky, Yair N.
    [J]. GEOMETRY & TOPOLOGY, 2013, 17 (05) : 2877 - 2922
  • [10] The classification of Kleinian surface groups, II: The Ending Lamination Conjecture
    Brock, Jeffrey F.
    Canary, Richard D.
    Minsky, Yair N.
    [J]. ANNALS OF MATHEMATICS, 2012, 176 (01) : 1 - 149
12345