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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
   • CommentTimeJan 24th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer (hat tip to David C. [here](https://nforum.ncatlab.org/discussion/10863/large-1n-limit/?Focus=82573#Comment_82573)): On the [[logical equivalence]] between the [[four-colour theorem]] and a statement about transition from the [[small N limit]] to the [[large N limit]] for [[Lie algebra weight systems]] on [[Jacobi diagrams]] via the [['t Hooft double line construction]]: * [[Dror Bar-Natan]], _Lie Algebras and the Four Color Theorem_, Combinatorica 17-1(1997) 43–52 ([arXiv:q-alg/9606016](https://arxiv.org/abs/q-alg/9606016), [doi:10.1007/BF01196130](https://doi.org/10.1007/BF01196130)) <a href="https://ncatlab.org/nlab/revision/diff/four-colour+theorem/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/four-colour+theorem/2">v2</a>, <a href="https://ncatlab.org/nlab/show/four-colour+theorem">current</a>

   added this pointer (hat tip to David C. here):

   On the logical equivalence between the four-colour theorem and a statement about transition from the small N limit to the large N limit for Lie algebra weight systems on Jacobi diagrams via the ’t Hooft double line construction:

   • Dror Bar-Natan, Lie Algebras and the Four Color Theorem, Combinatorica 17-1(1997) 43–52 (arXiv:q-alg/9606016, doi:10.1007/BF01196130)

   diff, v2, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 11th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAdded a reference * [[Noam Zeilberger]], _Linear lambda terms as invariants of rooted trivalent maps_ ([arXiv:1512.06751](https://arxiv.org/abs/1512.06751)). <a href="https://ncatlab.org/nlab/revision/diff/four-colour+theorem/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/four-colour+theorem/3">v3</a>, <a href="https://ncatlab.org/nlab/show/four-colour+theorem">current</a>

   Added a reference

   • Noam Zeilberger, Linear lambda terms as invariants of rooted trivalent maps (arXiv:1512.06751).

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 11th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexAdded a brief indication. <a href="https://ncatlab.org/nlab/revision/diff/four-colour+theorem/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/four-colour+theorem/3">v3</a>, <a href="https://ncatlab.org/nlab/show/four-colour+theorem">current</a>

   Added a brief indication.

   diff, v3, current