The Envelope of The Alexander Polynomial: Difference between revisions

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{{In Preparation}}


==The Internal Kernel of the Alexander Polynomial==
==The Internal Kernel of the Alexander Polynomial==
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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:
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:

[[Image:The Bubble Relation.svg|thumb|330px|center|The Bubble Relation]]


[[Image:TheHRelation.svg|thumb|550px|center|The H Relation]]
[[Image:TheHRelation.svg|thumb|550px|center|The H Relation]]

Revision as of 12:55, 2 April 2007

In Preparation

The information below is preliminary and cannot be trusted! (v)

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:

The Bubble Relation
The H Relation
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.

The VS-Algebra Envelope of the Alexander Polynomial