Conan777 at 06:45, 19 September 2009

2009-09-19T06:45:33Z

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Proof of the theorem from last hour: <math>j_{(n, \cdot)}</math> is a type <math>n</math> invariant.
(in fact we may prove the same for both the Conway and HOMFLY-PT polynomial)
Substitute <math>q=e^x</math> into the Jones skein relation, simplify <math>J(</math> double point <math>)</math> and deduce the value of <math>J</math> on a <math>n+1</math> singular knot <math>\Rightarrow j_n</math> vanishes on <math>\mathcal{K}_{n+1}</math>.

Notes for AKT-090917-2/0:20:43 - Revision history

Conan777 at 06:45, 19 September 2009