Answering a question of Farb, Leininger, and Margalit, we give explicit lower bounds for the dilatations of pseudo-Anosov mapping classes lying in the k-th term of the Johnson filtration of the mapping class group.
Classification :
57-XX, 20-XX
Mots-clés :
Pseudo-Anosov, dilatation, mapping class group, lower central series, intersection number, Torelli group
Affiliations des auteurs :
Justin Malestein
1
;
Andrew Putman
2
1
The Hebrew University of Jerusalem, Israel
2
Rice University, Houston, USA
Justin Malestein; Andrew Putman. Pseudo-Anosov dilatations and the Johnson filtration. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 771-793. doi: 10.4171/ggd/365
@article{10_4171_ggd_365,
author = {Justin Malestein and Andrew Putman},
title = {Pseudo-Anosov dilatations and the {Johnson} filtration},
journal = {Groups, geometry, and dynamics},
pages = {771--793},
year = {2016},
volume = {10},
number = {2},
doi = {10.4171/ggd/365},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/365/}
}
TY - JOUR
AU - Justin Malestein
AU - Andrew Putman
TI - Pseudo-Anosov dilatations and the Johnson filtration
JO - Groups, geometry, and dynamics
PY - 2016
SP - 771
EP - 793
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/365/
DO - 10.4171/ggd/365
ID - 10_4171_ggd_365
ER -
%0 Journal Article
%A Justin Malestein
%A Andrew Putman
%T Pseudo-Anosov dilatations and the Johnson filtration
%J Groups, geometry, and dynamics
%D 2016
%P 771-793
%V 10
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/365/
%R 10.4171/ggd/365
%F 10_4171_ggd_365
