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

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Analogously,
Analogously,
:<math>J(\doublepoint ... \doublepoint)=x^{n+1}(...)</math>
:<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.
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.

Revision as of 11:12, 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 , , will be zero when evaluated on a knot with crossings.