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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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 PageCreated (UT)Last Modified (UT)
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)

<< Mathematica Notebooks >>

 Notebook (.pdf)Source (.nb)CreatedLast ModifiedSummary
1 DegreeTwo source 2015-12-17 19:18:52 2011-12-01 11:10:04 We analyze ${\mathcal A}^v$ in degree 2.
2 DimensionsOnSphere source 2015-12-17 19:18:52 2009-08-21 16:05:05 Same as Dimensions.nb, but on a computer with more RAM.
3 Dimensions source 2015-12-17 19:18:52 2013-08-27 10:34:48 We compute some ${\mathcal A}^v$ and ${\mathcal A}^w$ dimensions in low degrees.
4 InfinitesimalAlexanderModules source 2015-12-17 19:18:52 2011-12-01 09:58:14 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 2015-12-17 19:18:52 2010-01-25 09:14:42 We verify that the "Kishino Braid" is non-trivial, yet its Alexander invariant is trivial.
6 TheVertices source 2015-12-17 19:18:52 2012-08-08 18:47:41  
7 wA source 2015-12-17 19:18:52 2011-12-01 11:11:11 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 2015-12-17 19:18:52 2012-08-03 10:08:11 Drawing a wen!

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TheNegativeVertex.png

TheTwistedVertex.png

TheVertex.png

Wen-111129.png

Wen-111201.png

Wen.png

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Dimensions.m  


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12-wClips - Shortcut.lnk   Alekseev - Torossian - Shortcut.lnk   Arrow_Diagrams_and_gl(N) - Shortcut.lnk   DegreeTwo.nb   Dimensions.m   Dimensions.nb   DimensionsOnSphere.nb   index.html   index.m   InfinitesimalAlexanderModules.nb   The_Kishino_Braid.nb   TheNegativeVertex.png   TheTwistedVertex.png   TheVertex.png   TheVertices.nb   wA.nb   Wen-111129.png   Wen-111201.png   Wen.nb   Wen.png   WKO-120808-Annotated.pdf   WKO-120921-Annotated.pdf   WKO-130510-Annotations.pdf   WKO-CorrectionsTo131113.pdf