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.
* The frozen feet quotient.
* The frozen feet quotient.
* The action of <math>\Delta</math> and of <math>\star\mapsto\star^{23}</math>, etc. ({{Dror}}: See also [[VS, TS and TG Algebras]].)
* 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]].)
* 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.
* <math>[abw]=[baw]</math> if <math>|w|\geq 2</math>.

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: CMS 2006 Lee Handout Front.png, back: CMS 2006 Lee Handout Back.png and Dror's very partial paperlet, Associators with Frozen Feet.

  • Definition of and its relation with finite type invariants.
  • The frozen feet quotient.
  • The action of , , and of , etc. (Dror: see also VS, TS and TG Algebras.)
  • Generators and relations: , , the hexagons and pentagon, unitarity, non-degeneracy, group-like property.
  • if .