Timeline for Maximal euler characteristic of surfaces bounding two fixed curves
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 18, 2013 at 22:10 | vote | accept | Bruno Martelli | ||
| May 19, 2011 at 15:56 | history | edited | Ian Agol | CC BY-SA 3.0 |
added 145 characters in body
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| May 19, 2011 at 15:55 | comment | added | Ian Agol | This is Theorem 6.12 of Hass-Scott: ams.org/journals/tran/1988-310-01/S0002-9947-1988-0965747-6/… | |
| May 19, 2011 at 14:35 | comment | added | Bruno Martelli | Thanks Ian. Does $\Sigma$ need to be $\partial$-incompressible to guarantee that one can find a minimal representative, or is incompressibility enough? In fact my question was motivated precisely by normal surface theory: in some cases normal surfaces of highest $\chi$ are "seen" by quantum invariants by using the techniques described in a (nice) paper of Frohman - Bartoszynska arxiv.org/abs/math/0310273 and I was wondering whether this minimal distance between curves could be computed by using some Turaev-Viro invariant. | |
| May 18, 2011 at 22:07 | comment | added | Ian Agol | yes, that's equivalent - in fact, as one varies the parameter t, one will see a movie isotoping multicurves with finitely many saddle moves. | |
| May 18, 2011 at 21:59 | comment | added | Kevin Walker | In your definition of the graph is it equivalent (and perhaps easier) to say that $A$ and $B$ and joined by an edge iff they are related by a saddle move? | |
| May 18, 2011 at 18:44 | history | answered | Ian Agol | CC BY-SA 3.0 |