Geodesic
Measure equivalence rigidity of the mapping class group
Yoshikata Kida1
1 Max-Planck-Institut für Mathematik<br/>Vivatsgasse 7<br/>Bonn 53111<br/>Germany<br/>and<br/>Department of Mathematics<br/>Kyoto University<br/>Kyoto 606-8502<br/>Japan
Annals of mathematics, Tome 171 (2010) no. 3, pp. 1851-1901.

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

We show that the mapping class group of a compact orientable surface with higher complexity satisfies the following rigidity in the sense of measure equivalence: If the mapping class group is measure equivalent to a discrete group, then they are commensurable up to finite kernels. Moreover, we describe all locally compact second countable groups containing a lattice isomorphic to the mapping class group. We obtain similar results for finite direct products of mapping class groups.
DOI : 10.4007/annals.2010.171.1851

Yoshikata Kida 1

1 Max-Planck-Institut für Mathematik<br/>Vivatsgasse 7<br/>Bonn 53111<br/>Germany<br/>and<br/>Department of Mathematics<br/>Kyoto University<br/>Kyoto 606-8502<br/>Japan 
@article{10_4007_annals_2010_171_1851,
     author = {Yoshikata Kida},
     title = {Measure equivalence rigidity  of the mapping class group},
     journal = {Annals of mathematics},
     pages = {1851--1901},
     publisher = {mathdoc},
     volume = {171},
     number = {3},
     year = {2010},
     doi = {10.4007/annals.2010.171.1851},
     mrnumber = {2680399},
     zbl = {05712764},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1851/}
}
TY  - JOUR
AU  - Yoshikata Kida
TI  - Measure equivalence rigidity  of the mapping class group
JO  - Annals of mathematics
PY  - 2010
SP  - 1851
EP  - 1901
VL  - 171
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1851/
DO  - 10.4007/annals.2010.171.1851
LA  - en
ID  - 10_4007_annals_2010_171_1851
ER  - 
%0 Journal Article
%A Yoshikata Kida
%T Measure equivalence rigidity  of the mapping class group
%J Annals of mathematics
%D 2010
%P 1851-1901
%V 171
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1851/
%R 10.4007/annals.2010.171.1851
%G en
%F 10_4007_annals_2010_171_1851
Yoshikata Kida. Measure equivalence rigidity  of the mapping class group. Annals of mathematics, Tome 171 (2010) no. 3, pp. 1851-1901. doi : 10.4007/annals.2010.171.1851. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1851/

Cité par Sources :