Timeline for pseudo-Anosovs with given action on homology

8 events

when toggle format	what		by	license	comment
Oct 30, 2013 at 12:22	history	edited	Sam Nead	CC BY-SA 3.0	Added ref to Yair Minsky.
Oct 30, 2013 at 11:50	history	edited	Sam Nead	CC BY-SA 3.0	typo
Oct 30, 2013 at 3:15	history	edited	Sam Nead	CC BY-SA 3.0	added 749 characters in body
Oct 30, 2013 at 2:52	comment	added	Sam Nead		This part of my answer will look similar to the second part of Lee's addition. I'll write out my version to see how our side-conditions compare.
Oct 28, 2013 at 2:49	comment	added	Igor Rivin		I am aware of the definition, but why does it work here?
Oct 28, 2013 at 2:26	comment	added	Sam Nead		A map $h$ of a topological space $X$ acts with north-south dynamics if $h$ has a pair of distinct fixed points $a$ and $b$ with the following property. For any neighborhoods $U$ and $V$ containing $a$ and $b$, respectively (but not containing $b$ and $a$, respectively) there is a positive integer $n$ so that $f^n(X - V) \subset U$ and $f^{-n}(X - U) \subset V$. The point $a$ is called "attracting" and the point $b$ is called "repelling". The roles of these points are played by $\lambda^{\pm}$ in the case of a pseudo-Anosov map.
Oct 28, 2013 at 0:08	comment	added	Igor Rivin		Could you elaborate on the "north-south dynamics"?
Oct 27, 2013 at 23:31	history	answered	Sam Nead	CC BY-SA 3.0