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>. |
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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, |
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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}} |
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Latest revision as of 07:36, 11 January 2017
Kauffman often defines his bracket using the variable [math]\displaystyle{ A }[/math], it is not invariant under Reidemeister 1, a positive curl spits out [math]\displaystyle{ -A^3 }[/math]. Multiplying through the relation for the [math]\displaystyle{ \pm }[/math] crossing by [math]\displaystyle{ -A^{\mp 3} }[/math] and absorbing that factor into the crossing, we get Dror's Kauffman bracket with [math]\displaystyle{ q = -A^{-2} }[/math]. Roland
