Notes for AKT-090917-1/0:20:08: Difference between revisions

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Def: Knot invariant <math>V</math> is of '''Vassiliev type <math>m</math>''' if <math>V^{m+1} = 0</math> (on the whole space of <math>m</math>-singular knots)
Def: Knot invariant <math>V</math> is of '''Vassiliev type <math>m</math>''' if <math>V^{m+1} = 0</math> (on the whole space of <math>m+1</math>-singular knots)
Notation: we drop the superscript in <math>V^{(m)}</math> since for each <math>m</math>, <math>V^{(m)}</math> is only defined for <math>m</math>-singular knots.
Notation: we drop the superscript in <math>V^{(m)}</math> since for each <math>m</math>, <math>V^{(m)}</math> is only defined for <math>m</math>-singular knots.

Revision as of 20:35, 18 September 2009

Def: Knot invariant is of Vassiliev type if (on the whole space of -singular knots) Notation: we drop the superscript in since for each , is only defined for -singular knots.