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These are construction notes for my paper Finite Type Invariants of W-Knotted Objects: From Alexander to Kashiwara and Vergne, joint with Zsuzsanna Dancso.

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Archive   /   Classes: 12-wClips   Annotations: Alekseev - Torossian   Projects: Arrow_Diagrams_and_gl(N)

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WKO-120808-Annotated.pdf   WKO-120921-Annotated.pdf   WKO-130510-Annotations.pdf   WKO-CorrectionsTo131113.pdf

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1 Random 2009-01-22 14:22:41 2009-03-19 19:43:59
2 Degree 2 2009-02-26 18:48:31 2009-02-27 19:34:43
3 w=tw 2009-03-03 13:52:27 2009-03-03 14:58:58
4 Dim Lie-w 2009-04-21 13:51:05 2009-04-21 14:38:38
5 The 2D Lie Algebra 2009-04-29 13:15:36 2009-04-29 13:28:58
6 The Alexander Formula 2009-05-01 12:47:55 2010-02-11 17:20:52
7 Sanderson's 8_17 2009-08-11 17:42:25 2009-08-11 17:47:56
8 The w-Tangles Section 2010-04-02 14:09:48 2010-04-03 22:20:06
9 110704 Notes 2011-07-04 14:41:40 2011-07-04 15:22:07
10 To do 2011-07-20 17:48:23 2012-02-09 15:29:47
11 Four Hard Things 2011-07-21 17:44:09 2011-07-21 18:14:59
12 Degree 2 for ${\mathcal A}^{sv}$ 2013-09-05 14:34:44 2013-09-05 14:51:31
(.one source file for all pages above)

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1 DegreeTwo source 2024-03-17 11:29:22 2011-12-01 12:10:04 We analyze ${\mathcal A}^v$ in degree 2.
2 DimensionsOnSphere source 2024-03-17 11:29:22 2009-08-21 17:05:05 Same as Dimensions.nb, but on a computer with more RAM.
3 Dimensions source 2024-03-17 11:29:22 2013-08-27 11:34:48 We compute some ${\mathcal A}^v$ and ${\mathcal A}^w$ dimensions in low degrees.
4 InfinitesimalAlexanderModules source 2024-03-17 11:29:22 2011-12-01 10:58:14 Work on the "infinitesimal Alexander module" as in our (DBN and Zsuzsanna Dancso) paper "Finite Type Invariants of W-Knotted Objects: From Alexander to Kashiwara and Vergne" ( http://www.math.toronto.edu/~drorbn/papers/WKO/ ); continues pensieve://2009-06/.
5 The_Kishino_Braid source 2024-03-17 11:29:22 2010-01-25 10:14:42 We verify that the "Kishino Braid" is non-trivial, yet its Alexander invariant is trivial.
6 TheVertices source 2024-03-17 11:29:22 2012-08-08 19:47:41
7 wA source 2024-03-17 11:29:22 2011-12-01 12:11:11 We verify that the w-formula for the Alexander polynomial is right for all knots with up to 11 crossings. See also the blackboard shot at http://katlas.math.toronto.edu/drorbn/bbs/show?shot=KAL-090610-144148.jpg.
8 Wen source 2024-03-17 11:29:22 2012-08-03 11:08:11 Drawing a wen!

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Dimensions.m