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====The "B around B" Syzygy====
====The "B around B" Syzygy====


[[Image:BonBSyzygy.svg|center|600px]]
[[Image:06-1350-BAroundB.svg|center]]


===A Mathematica Verification===
===A Mathematica Verification===

Revision as of 11:06, 19 November 2006

The Generators

Our generators are , , and :

Picture 06-1350-BPlus.svg
Generator
Perturbation

The Relations

The Reidemeister Move R3

The picture (with three sides of the shielding removed) is

06-1350-R4.svg

In formulas, this is

.

Linearized and written in functional form, this becomes

The Syzygies

The "B around B" Syzygy

06-1350-BAroundB.svg

A Mathematica Verification