Timeline for What does the matrix of a mapping class tell you about the 3-manifold?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2017 at 18:17 | comment | added | Igor Rivin | @AndyPutman cool, looking forward to it! Have a good trip! | |
| Mar 17, 2017 at 16:58 | comment | added | Andy Putman | I am traveling right now, but when I get back I will email you with a description of what one would need to do. | |
| Mar 17, 2017 at 14:12 | comment | added | Igor Rivin | @AndyPutman A negative result would be interesting too, especially since probabilistically it is true that if your top singular value when acting on homology is large, so is your cc translation distance. | |
| Mar 17, 2017 at 12:33 | comment | added | Andy Putman | Actually, on further reflection I doubt that such a criterion exists. I bet you could prove this using the results in the paper I cite in my answer. | |
| Mar 17, 2017 at 3:25 | comment | added | Andy Putman | I also expect that there is some criterion, though I am not sure what it would be. It's a good question! | |
| Mar 17, 2017 at 2:42 | comment | added | Igor Rivin | @AndyPutman Yes, thanks for clarifying! I think the last question I ask is interesting (I don't know why I had never thought to ask it before :( ), and I would guess the answer is positive (again, in one direction). | |
| Mar 17, 2017 at 2:39 | comment | added | Andy Putman | Since your phrasing is unclear, I want to emphasize (to the OP; I know you know this) that Casson's criterion only goes in one direction; indeed, there are pseudo Anosov mapping classes that act trivially on homology. | |
| Mar 17, 2017 at 0:49 | history | answered | Igor Rivin | CC BY-SA 3.0 |