Timeline for Automorphisms of $\pi_1$ induced by pseudo-Anosov maps
Current License: CC BY-SA 2.5
6 events
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| May 8, 2010 at 23:59 | comment | added | Tom Church | I added a reference above. There is one approach I like: if f in N is reducible, conjugate it to some g with a totally different reduction system; then combining big powers of f and g should give pseudos as in Thurston's argument. But I do not know if anyone has ever made this work. Long instead plays ping-pong with pseudos on PL (the space of projective laminations). He gets for example that for any normal N, the set in PL of fixed points of pseudos in N is dense in PL. And as he points out, you don't need so much to make ping-pong work -- you can take N normal only in Torelli, etc. | |
| May 8, 2010 at 23:48 | history | edited | Tom Church | CC BY-SA 2.5 |
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| May 8, 2010 at 23:32 | vote | accept | algori | ||
| May 8, 2010 at 23:32 | comment | added | algori | Thanks, Tom! By the way, could you give me a reference for the fact that every normal subgroup of the mpg contains a pseudo-Anosov map? | |
| May 8, 2010 at 23:01 | history | edited | Tom Church | CC BY-SA 2.5 |
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| May 8, 2010 at 22:49 | history | answered | Tom Church | CC BY-SA 2.5 |