Timeline for Are all mapping classes also Dehn twists?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 31, 2020 at 19:07 | comment | added | Danny Ruberman | Another no: the map on homology induced by a Dehn twist has trace 2g. But there are lots of homeomorphisms where this trace is 0; for example interchange the two circle factors of a torus. | |
| Aug 31, 2020 at 11:52 | comment | added | ThiKu | Every mapping class is a product of finitely many Dehn twists. This is Lickorish‘s Theorem. | |
| Aug 31, 2020 at 11:49 | review | Close votes | |||
| Sep 5, 2020 at 3:36 | |||||
| Aug 31, 2020 at 11:24 | comment | added | user35370 | No. Nielson-Thurston gives a description of the type of elements you can have. If you know the description of mapping class group of torus it is pretty easy to produce finite, dehn twists, and Anosov mapping classes. Anyways this question isn't really research level. | |
| Aug 31, 2020 at 10:45 | history | asked | giulio bullsaver | CC BY-SA 4.0 |