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:
Conway-Alexandra polynomial <math>C \in \mathbb{Z}[z]</math> can be constructed inductively by the relations
Conway-Alexandra polynomial and HOMFLY-PT polynomial and basically any such relation (of this sort) you can write down defines a knot invariant.

1.<math>C(</math>"overcrossing"<math>)-C(</math>"undercrossing"<math>) = z * C(</math> "vertical smoothing"<math>)</math>

2.<math>C( k</math> disjoint circles <math>) = 1</math> if <math>k=1</math> and <math>0</math> 0.w.

Revision as of 01:32, 19 September 2009

Cousins of Jones skein relation: Conway-Alexandra polynomial and HOMFLY-PT polynomial and basically any such relation (of this sort) you can write down defines a knot invariant.