Timeline for Pseudoanosov mapping torus and length of curves.

11 events

when toggle format	what		by	license	comment
Apr 26, 2015 at 19:51	comment	added	Sam Nead		Yes - this always happens if $S - X$ is more than a collection of annuli and pairs of pants.
Mar 25, 2012 at 19:23	vote	accept	shurtados
Mar 25, 2012 at 19:23	comment	added	shurtados		Thanks for that and for your answer. Do you know any example where the curves in the complement of $X$ don't have short length?
Mar 25, 2012 at 19:21	vote	accept	shurtados
Mar 25, 2012 at 19:23
Mar 19, 2012 at 11:52	answer	added	Sam Nead		timeline score: 4
Mar 19, 2012 at 11:44	comment	added	Sam Nead		(I edited your post to make the notation in the last paragraph match the previous paragraphs.)
Mar 19, 2012 at 11:39	history	edited	Sam Nead	CC BY-SA 3.0	Made notation in last paragraph match notation in previous.
Mar 19, 2012 at 11:34	comment	added	Sam Nead		Regarding the last paragraph - Suppose $\phi$ is pA in all of $S$, and $\sigma$ is pA in $X$, a strict subsurface. The lengths of the curves of $\partial X$ go to zero in $M_{\phi \sigma^n}$, as $n$ goes to infinity. But for curves in the complement of $X$, yet not in the boundary, their length does not go to zero.
Mar 19, 2012 at 9:59	answer	added	Ian Agol		timeline score: 3
Mar 19, 2012 at 6:49	history	edited	shurtados	CC BY-SA 3.0	edited title
Mar 19, 2012 at 6:11	history	asked	shurtados	CC BY-SA 3.0