Timeline for Knot polynomials: Skein>Matrix>Group?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2011 at 11:44 | vote | accept | Hauke Reddmann | ||
| Sep 23, 2011 at 1:31 | answer | added | Eric Rowell | timeline score: 3 | |
| Sep 22, 2011 at 10:29 | comment | added | Hauke Reddmann | THX, the paper is interesting. (Eh, I'm not so good with all the equivalent notations - SL4, triangle irrep is also A_?, irrep (?,?,...,?) - could you enlighten me?) P.S. Of course I have my own opinion on the mutant matter, which is that an irrep with a pattern RxR->R1+...+Rn suffices if n>...eh, 5? But this is black magic, not math :-) | |
| Sep 21, 2011 at 20:54 | comment | added | algori | Hauke -- I realize what I wrote was misleading, sorry. The invariant does come from the defining representation, but it has to be applied applied to the "triple copies" of the knots. If one wants an invariant of the knots themselves, one has to consider a different representation, namely the one with the Young diagram in the form of a triangle with three squares. See p. 3 of H. Morton's paper. | |
| Sep 21, 2011 at 15:42 | comment | added | algori | Hauke -- the invariant that comes from the defining representation of $sl_4$ does distinguish Conway from Kinoshita-Teresaka. See liv.ac.uk/~su14/papers/mutantJKTR.pdf | |
| Sep 21, 2011 at 15:13 | history | asked | Hauke Reddmann | CC BY-SA 3.0 |