Geodesic
The classification of Kleinian surface groups, II: The Ending Lamination Conjecture
Jeffrey F. Brock1 ; Richard D. Canary2 ; Yair N. Minsky3
1 Department of Mathematics, Brown University, Box 1917, Providence, RI 02912
2 Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109-1043
3 Mathematics Department, Yale University, PO Box 208283, New Haven, CT 06520-8283
Annals of mathematics, Tome 176 (2012) no. 1, pp. 1-149.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 groups; the general case when $N$ has incompressible ends relative to its cusps follows readily. The main ingredient is a uniformly bilipschitz model for the quotient of $\mathbb{H}^3$ by a Kleinian surface group.
DOI : 10.4007/annals.2012.176.1.1

Jeffrey F. Brock 1 ; Richard D. Canary 2 ; Yair N. Minsky 3

1 Department of Mathematics, Brown University, Box 1917, Providence, RI 02912
2 Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109-1043
3 Mathematics Department, Yale University, PO Box 208283, New Haven, CT 06520-8283 
@article{10_4007_annals_2012_176_1_1,
     author = {Jeffrey F. Brock and Richard D. Canary and Yair N. Minsky},
     title = {The classification of {Kleinian} surface groups, {II:}  {The} {Ending} {Lamination} {Conjecture}},
     journal = {Annals of mathematics},
     pages = {1--149},
     publisher = {mathdoc},
     volume = {176},
     number = {1},
     year = {2012},
     doi = {10.4007/annals.2012.176.1.1},
     mrnumber = {2925381},
     zbl = {1253.57009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.1.1/}
}
TY  - JOUR
AU  - Jeffrey F. Brock
AU  - Richard D. Canary
AU  - Yair N. Minsky
TI  - The classification of Kleinian surface groups, II:  The Ending Lamination Conjecture
JO  - Annals of mathematics
PY  - 2012
SP  - 1
EP  - 149
VL  - 176
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.1.1/
DO  - 10.4007/annals.2012.176.1.1
LA  - en
ID  - 10_4007_annals_2012_176_1_1
ER  - 
%0 Journal Article
%A Jeffrey F. Brock
%A Richard D. Canary
%A Yair N. Minsky
%T The classification of Kleinian surface groups, II:  The Ending Lamination Conjecture
%J Annals of mathematics
%D 2012
%P 1-149
%V 176
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.1.1/
%R 10.4007/annals.2012.176.1.1
%G en
%F 10_4007_annals_2012_176_1_1
Jeffrey F. Brock; Richard D. Canary; Yair N. Minsky. The classification of Kleinian surface groups, II:  The Ending Lamination Conjecture. Annals of mathematics, Tome 176 (2012) no. 1, pp. 1-149. doi : 10.4007/annals.2012.176.1.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.1.1/

Cité par Sources :