Notes for AKT-170110-1/0:43:57: Difference between revisions

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Kauffman often defines his bracket using the variable <math>A</math>, it is not invariant under Reidemeister 1, a positive curl spits out <math>-A^3</math>.
Kauffman often defines his bracket using the variable <math>A</math>, it is not invariant under Reidemeister 1, a positive curl spits out <math>-A^3</math>.
Multiplying through the relation for the <math>\pm</math> crossing by <math>-A^{\mp 3}</math> and absorbing that factor into the crossing,
Multiplying through the relation for the <math>\pm</math> crossing by <math>-A^{\mp 3}</math> and absorbing that factor into the crossing,
we get Dror's Kauffman bracket with <math>q = -A^{-2}</math>.
we get Dror's Kauffman bracket with <math>q = -A^{-2}</math>. {{Roland}}

Latest revision as of 07:36, 11 January 2017

Kauffman often defines his bracket using the variable , it is not invariant under Reidemeister 1, a positive curl spits out . Multiplying through the relation for the crossing by and absorbing that factor into the crossing, we get Dror's Kauffman bracket with . Roland