Notes for AKT-090917-2/0:27:14: Difference between revisions

Revision as of 10:13, 8 September 2011

Rearranging the skein relation, we see that:

Failed to parse (unknown function "\doublepoint"): {\displaystyle J(\doublepoint)=x(...)}

Analogously,

Failed to parse (unknown function "\doublepoint"): {\displaystyle J(\doublepoint ... \doublepoint)=x^{n+1}(...)}

for n+1 double points. In particular, the coefficient of $x^{n}$ , $J_{n}$ , will be zero when evaluated on a knot with $k+1$ double points.

@@ Line 3: / Line 3: @@
 Analogously,
 :<math>J(\doublepoint ... \doublepoint)=x^{n+1}(...)</math>
-for n+1 double points. In particular, the coefficient of <math>x^n</math>, <math>J_n</math>, will be zero when evaluated on a knot with <math>k+1</math> crossings.
+for n+1 double points. In particular, the coefficient of <math>x^n</math>, <math>J_n</math>, will be zero when evaluated on a knot with <math>k+1</math> double points.