Ergodic Theory and Dynamical Systems



The forcing partial order on the three times punctured disk


MICHAEL HANDEL a1
a1 Department of Mathematics and Science, Lehman College, CUNY, Bedford Park Boulevard, Bronx, NY 10468-1589, USA

Abstract

The two-dimensional analogue of the Sharkovski order on periods for maps of the interval restricts to a partial order on essential pseudo-Anosov conjugacy classes in the mapping class group of the $n$-times punctured disk. In this paper we give an explicit description of this restricted partial order in the case when $n=3$.

(Received February 24 1995)
(Revised April 29 1996)