Knot at Lunch, May 24, 2007: Difference between revisions
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* Definition of <math>{\mathcal A}^n</math> and its relation with finite type invariants. |
* Definition of <math>{\mathcal A}^n</math> and its relation with finite type invariants. |
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* The frozen feet quotient. |
* The frozen feet quotient. |
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* The action of <math>\Delta</math> and of <math>\star\mapsto\star^{23}</math>, etc. ({{Dror}}: |
* The action of <math>\Delta</math>, <math>\eta_i</math>, and of <math>\star\mapsto\star^{23}</math>, etc. ({{Dror}}: see also [[VS, TS and TG Algebras]].) |
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* Generators and relations: <math>R^\pm</math>, <math>\Phi^\pm</math>, the hexagons and pentagon. |
* Generators and relations: <math>R^\pm</math>, <math>\Phi^\pm</math>, the hexagons and pentagon, unitarity, non-degeneracy, group-like property. |
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* <math>[abw]=[baw]</math> if <math>|w|\geq 2</math>. |
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Revision as of 11:55, 24 May 2007
First meeting for summer 2007! Peter Lee is telling us about associators with frozen feet. See also his handout from the CMS Winter 2006 Session on Knot Homologies - front: 
, back: 
and Dror's very partial paperlet, Associators with Frozen Feet.
- Definition of [math]\displaystyle{ {\mathcal A}^n }[/math] and its relation with finite type invariants.
- The frozen feet quotient.
- The action of [math]\displaystyle{ \Delta }[/math], [math]\displaystyle{ \eta_i }[/math], and of [math]\displaystyle{ \star\mapsto\star^{23} }[/math], etc. (Dror: see also VS, TS and TG Algebras.)
- Generators and relations: [math]\displaystyle{ R^\pm }[/math], [math]\displaystyle{ \Phi^\pm }[/math], the hexagons and pentagon, unitarity, non-degeneracy, group-like property.
- [math]\displaystyle{ [abw]=[baw] }[/math] if [math]\displaystyle{ |w|\geq 2 }[/math].
