The Envelope of The Alexander Polynomial: Difference between revisions
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==The Internal Kernel of the Alexander Polynomial== |
==The Internal Kernel of the Alexander Polynomial== |
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All that there is here comes from [[06-1350/Class Notes for Tuesday October 24]]. Many further relevant facts are in {{arXiv|q-alg/9602014}} by José M. Figueroa-O'Farrill, Takashi Kimura, Arkady Vaintrob and in {{arXiv|math.QA/0204346}} by Jens Lieberum. |
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At the moment I know of just three relations in the internal kernel of the Alexander polynomial: the bubble relation, the H relation and the 4Y relation: |
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[[Image:TheHRelation.svg|thumb|550px|center|The H Relation]] |
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[[Image:The4YRelation.svg|thumb|440px|center|The 4Y Relation]] |
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I have good reasons to suspect that there are further relations. But at the moment I don't know what they are, so below we will make do with what we have. |
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==The VS-Algebra Envelope of the Alexander Polynomial== |
==The VS-Algebra Envelope of the Alexander Polynomial== |
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Revision as of 10:21, 1 April 2007
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The Internal Kernel of the Alexander Polynomial
All that there is here comes from 06-1350/Class Notes for Tuesday October 24. Many further relevant facts are in arXiv:q-alg/9602014 by José M. Figueroa-O'Farrill, Takashi Kimura, Arkady Vaintrob and in arXiv:math.QA/0204346 by Jens Lieberum.
At the moment I know of just three relations in the internal kernel of the Alexander polynomial: the bubble relation, the H relation and the 4Y relation:
I have good reasons to suspect that there are further relations. But at the moment I don't know what they are, so below we will make do with what we have.
