Notes for AKT-090917-2/0:27:14: Difference between revisions
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Analogously, |
Analogously, |
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:<math>J(\doublepoint ... \doublepoint)=x^{n+1}(...)</math> |
:<math>J(\doublepoint ... \doublepoint)=x^{n+1}(...)</math> |
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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> |
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. |
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Revision as of 11:13, 8 September 2011
Rearranging the skein relation, we see that:
- [math]\displaystyle{ J(\doublepoint)=x(...) }[/math]
Analogously,
- [math]\displaystyle{ J(\doublepoint ... \doublepoint)=x^{n+1}(...) }[/math]
for n+1 double points. In particular, the coefficient of [math]\displaystyle{ x^n }[/math], [math]\displaystyle{ J_n }[/math], will be zero when evaluated on a knot with [math]\displaystyle{ k+1 }[/math] double points.
