Notes for AKT-090917-2/0:00:33: Difference between revisions

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The Jones skein relation:
We study the Jones polynomial for a double point and as a result get '''the Jones skein relation''':

<math>q*J(</math>"overcrossing"<math>)-q^{-1}*J(</math>"undercrossing"<math>) = (q^{1/2}-q^{-1/2})*J(</math>"vertical turning"<math>)</math>
:<math>qJ(\overcrossing)-q^{-1}J(\undercrossing) = (q^{1/2}-q^{-1/2})J(\smoothing)</math>

Latest revision as of 08:29, 8 September 2011

We study the Jones polynomial for a double point and as a result get the Jones skein relation:

Failed to parse (unknown function "\overcrossing"): {\displaystyle qJ(\overcrossing)-q^{-1}J(\undercrossing) = (q^{1/2}-q^{-1/2})J(\smoothing)}
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