Timeline for braid representation of a Montesinos link
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 17, 2023 at 18:50 | comment | added | ThiKu | Okay, I see, the confusion just comes from the fact, that what Franks-Williams call the Jones polynomial is not what everybody else calls by this name. So this answer seems to be wrong. Still the argument in Richard Weidmanns comment should be correct. | |
| Apr 17, 2023 at 18:47 | comment | added | ThiKu | This is explicitly stated as a corollary on the 3rd page of Franks-Williams 1987 paper in Trans.AMS. Yet your example seems to be right - confusingly. The paper is at ams.org/journals/tran/1987-303-01/S0002-9947-1987-0896009-2/… | |
| Apr 16, 2023 at 16:12 | comment | added | Marc Kegel | How do you derive the bound from the Morton-Franks-Williams bound? It seems not correct to me. The torus knot T(5,2) has braid index 2 but Jones polynomial: t^2+ t^4-t^5+ t^6-t^7 | |
| Feb 13, 2017 at 17:44 | comment | added | Richard Weidmann | another way of seeing this is the following: A lower bound for the braid index is the bridge number (this is obvious) and the bridge number of Montesinos knots was computed by Boileau and Zieschang. | |
| Feb 13, 2017 at 11:06 | history | answered | ThiKu | CC BY-SA 3.0 |