Notes for AKT-090917-2/0:11:52: Difference between revisions
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Cousins of Jones skein relation: |
Cousins of Jones skein relation: |
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Conway-Alexander polynomial and HOMFLY-PT polynomial and basically any such relation (of this sort) you can write down defines a knot invariant. |
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Conway-Alexandra polynomial <math>C \in \mathbb{Z}[z]</math> can be constructed inductively by the relations |
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1.<math>C(</math>"overcrossing"<math>)-C(</math>"undercrossing"<math>) = z * C(</math> "vertical smoothing"<math>)</math> |
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2.<math>C( k</math> disjoint circles <math>) = 1</math> if <math>k=1</math> and <math>0</math> 0.w. |
Latest revision as of 09:55, 4 October 2009
Cousins of Jones skein relation: Conway-Alexander polynomial and HOMFLY-PT polynomial and basically any such relation (of this sort) you can write down defines a knot invariant.