Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 24th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting something, recording Theorem 6 in * [[Dror Bar-Natan]], _On the Vassiliev knot invariants_, Topology Volume 34, Issue 2, April 1995, Pages 423-472 (<a href="https://doi.org/10.1016/0040-9383(95)93237-2">doi:10.1016/0040-9383(95)93237-2</a>, [pdf](https://www.math.toronto.edu/drorbn/papers/OnVassiliev/OnVassiliev.pdf)) not done yet... <a href="https://ncatlab.org/nlab/revision/chord+diagrams+modulo+4T+are+Chern-Simons+diagrams+modulo+STU/1">v1</a>, <a href="https://ncatlab.org/nlab/show/chord+diagrams+modulo+4T+are+Chern-Simons+diagrams+modulo+STU">current</a>

   starting something, recording Theorem 6 in

   • Dror Bar-Natan, On the Vassiliev knot invariants, Topology Volume 34, Issue 2, April 1995, Pages 423-472 (doi:10.1016/0040-9383(95)93237-2, pdf)

   not done yet…

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorSimonWillerton
   • CommentTimeNov 24th 2019
   • PermaLink
   Author: SimonWillerton
   Format: MarkdownItexUrs, you mention Chinese character diagrams (which you call Chern-Simons diagrams). The standard name for these is now Jacobi diagrams. (See eg the book by Chmutov, Duzhin and Mostovoy or the book by Jackson and Moffatt).

   Urs, you mention Chinese character diagrams (which you call Chern-Simons diagrams). The standard name for these is now Jacobi diagrams. (See eg the book by Chmutov, Duzhin and Mostovoy or the book by Jackson and Moffatt).

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 25th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexright, thanks, let me edit a bit... <a href="https://ncatlab.org/nlab/revision/diff/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU/2">v2</a>, <a href="https://ncatlab.org/nlab/show/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU">current</a>

   right, thanks, let me edit a bit…

   diff, v2, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeNov 25th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded graphics for [4T relations from STU relations](https://ncatlab.org/nlab/files/4TRelationFromSTURelation.jpg) <a href="https://ncatlab.org/nlab/revision/diff/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU/2">v2</a>, <a href="https://ncatlab.org/nlab/show/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU">current</a>

   added graphics for 4T relations from STU relations

   diff, v2, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeNov 29th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexreplaced the graphics from Bar-Natan 95, with a new TikZ diagram ([here](https://ncatlab.org/nlab/show/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU#Statement)) <a href="https://ncatlab.org/nlab/revision/diff/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU/8">v8</a>, <a href="https://ncatlab.org/nlab/show/chord+diagrams+modulo+4T+are+Jacobi+diagrams+modulo+STU">current</a>

   replaced the graphics from Bar-Natan 95, with a new TikZ diagram (here)

   diff, v8, current