Geodesic
Minimal pseudo-Anosov translation lengths on the complex of curves
Gadre, Vaibhav1 ; Tsai, Chia-Yen2
1 Department of Mathematics, Harvard University, Cambridge MA 02138, USA
2 Department of Mathematics, University of Illinois Urbana-Champaign, Urbana IL 61801, USA
Geometry & topology, Tome 15 (2011) no. 3, pp. 1297-1312.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We establish bounds on the minimal asymptotic pseudo-Anosov translation lengths on the complex of curves of orientable surfaces. In particular, for a closed surface with genus g ≥ 2, we show that there are positive constants a1 < a2 such that the minimal translation length is bounded below and above by a1∕g2 and a2∕g2.

DOI : 10.2140/gt.2011.15.1297
Classification : 30F60, 32G15
Keywords: mapping class group, pseudo-Anosov map, complex of curves, Teichmüller

Gadre, Vaibhav 1 ; Tsai, Chia-Yen 2

1 Department of Mathematics, Harvard University, Cambridge MA 02138, USA
2 Department of Mathematics, University of Illinois Urbana-Champaign, Urbana IL 61801, USA 
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Gadre, Vaibhav; Tsai, Chia-Yen. Minimal pseudo-Anosov translation lengths on the complex of curves. Geometry & topology, Tome 15 (2011) no. 3, pp. 1297-1312. doi : 10.2140/gt.2011.15.1297. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.1297/

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