Main Page

This is the wiki portion of Dror Bar-Natan's web site. It is not a standalone page - it has no overall tree structure and there is no specific entry point. Rather it is just the common location for those of for my pages that could benefit from being editable by others and/or from having their history preserved and/or by having an associated "discussion" page.

Ok. Here are some of the pages here anyway:

Paperlets Navigation Panel   Algebraic Knot Theory Algebraic Knot Theory - A Call for Action. The Kontsevich Integral for Knotted Trivalent Graphs. Knotted Trivalent Graphs are Finitely Presented. VS, TS and TG Algebras. The Alexander Polynomial of a Knotted Trivalent Graph. Some Questions About Trinions. Finite Type Invariants The Envelope of a Finite Type Invariant. The Envelope of The Alexander Polynomial. Some Quotients of A. Associators with Frozen Feet. The HOMFLY Braidor Algebra. Coloured Chord Diagrams. Khovanov Homology Mutation Invariance of Khovanov Homology. Khovanov Homology of Alternating Tangles. Other The Existence of the Exponential Function. The Many Faces of Alexander.

Blackboards

These are blackboards that I've seen or filled and for one reason or another, wanted to preserve.

• 16 Definitions of the Alexander Polynomial, Toronto January 17 2007, with Zsuzsi Dancso.
• The Septagon, Toronto February 27, 2007.

Cheat Sheets

File:The MOY Invariant - Feb 2006.jpg

MOY

File:Multivariable Alexander - December 2006.jpg

Multivariable Alexander

A cheat sheet is a very short (usually one page or less) informal note (often with more diagrams and formulas than words) containing the essence of a complicated definition, construction or proof for easy reference at later dates. A well designed cheat sheet may not be readable for an outsider - it is not a paper and not even a paperlet. But it should be readable by its author (and possibly his/her close collaborators) for at least a few years after it was written assuming normal memory and brain cell loss. It should be reasonably (and sometimes, very) accurate in as much as normalizations and conventions are concerned, as often the main purpose of a cheat sheet is to keep track of those. No originality is ever claimed yet credits may be sparse.

• The MOY Invariant, February 2006, by Dror.
• The Multivariable Alexander Polynomial, December 2006, by Jana Archibald.
• The Khovanov-Seidel Categorification of the Burau Representation, April 2007, by Louis Leung: Side 1, Side 2. (Based on arXiv:math.QA/0006056.)
• The Alexander State Sum Model, by Louis Leung.

Projects

• VasCalc - A Vassiliev Invariants Calculator.
• HoriAsso - Computing a Horizontal Associator.

Classes

07-401, 07-1352, 06-240, 06-1350.

Other

• Survey of Finite Type Invariants.
• CMS Winter 2006 Session on Knot Homologies.
• 2009 Knot Theory Program at the Fields Institute.
• An Algebraic Number.