Notes for AKT-090917-2/0:11:52 - Revision history

Drorbn at 14:55, 4 October 2009

2009-10-04T14:55:42Z

← Older revision		Revision as of 10:55, 4 October 2009
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	Cousins of Jones skein relation:		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.		Conway-Alexander polynomial and HOMFLY-PT polynomial and basically any such relation (of this sort) you can write down defines a knot invariant.

Conan777 at 06:32, 19 September 2009

2009-09-19T06:32:08Z

← Older revision		Revision as of 02:32, 19 September 2009
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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.

Conan777 at 06:24, 19 September 2009

2009-09-19T06:24:31Z

New page

Cousins of Jones skein relation:
Conway-Alexandra polynomial <math>C \in \mathbb{Z}[z]</math> can be constructed inductively by the relations

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.