Timeline for What information can one recover from the induced map on homology?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 11, 2012 at 21:41 | comment | added | Pierre Dehornoy | Well, I was assuming that you have an homeomorphism. Then the thing is that pseudo-Anosov maps minimize the entropy in their isotopy class, so that the bound on the entropy in the main theorem of Birman et al is a fortiori valid for any homeo. But I have no idea about the non-homeo case. | |
| Jun 11, 2012 at 16:22 | comment | added | Vidit Nanda | Pierre, could you please mention which statement from the Birman, Brinkman and Kawamuro paper you are referring to? I am slightly worried that their global assumption (requiring $f$ to be pseudo-Asonov and hence at least a homeomorphism) is perhaps too strong to be useful in the context of the question even when we restrict to surfaces. | |
| Jun 11, 2012 at 15:35 | history | answered | Pierre Dehornoy | CC BY-SA 3.0 |