We prove that the standard action of the mapping class group of a surface of sufficiently large genus on the unit tangent bundle is not homotopic to any smooth action.
On montre que l’action standard du groupe modulaire d’une surface de genre assez grand sur le fibré unitaire tangent n’est pas homotopique à une action lisse.
@article{AFST_2010_6_19_3-4_589_0,
author = {J. Souto},
title = {A remark on the action of the mapping class group on the unit tangent bundle},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {589--601},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 19},
number = {3-4},
year = {2010},
doi = {10.5802/afst.1258},
mrnumber = {2790810},
zbl = {1236.57027},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1258/}
}
TY - JOUR AU - J. Souto TI - A remark on the action of the mapping class group on the unit tangent bundle JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2010 SP - 589 EP - 601 VL - 19 IS - 3-4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1258/ DO - 10.5802/afst.1258 LA - en ID - AFST_2010_6_19_3-4_589_0 ER -
%0 Journal Article %A J. Souto %T A remark on the action of the mapping class group on the unit tangent bundle %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2010 %P 589-601 %V 19 %N 3-4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1258/ %R 10.5802/afst.1258 %G en %F AFST_2010_6_19_3-4_589_0
J. Souto. A remark on the action of the mapping class group on the unit tangent bundle. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 19 (2010) no. 3-4, pp. 589-601. doi : 10.5802/afst.1258. https://afst.centre-mersenne.org/articles/10.5802/afst.1258/
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