Tutte chromatic identities from the Temperley-Lieb algebra

DOI10.2140/gt.2009.13.709zbMath1184.57002arXiv0711.0016OpenAlexW3099766096MaRDI QIDQ1006138

Paul Fendley, Vyacheslav S. Krushkal

Publication date: 19 March 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0016

zbMATH Keywords

chromatic polynomialplanar graphTemperley-Lieb algebraBeraha numberlevel-rank dualityTutte golden identity

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Topological quantum field theories (aspects of differential topology) (57R56) Relations of low-dimensional topology with graph theory (57M15) Coloring of graphs and hypergraphs (05C15)

Related Items (10)

Ribbon Graphs and Temperley-Lieb Algebra ⋮ Jones Representations of Thompson’s GroupFArising from Temperley–Lieb–Jones Algebras ⋮ Topological quantum field theory and polynomial identities for graphs on the torus ⋮ Foam evaluation and Kronheimer-Mrowka theories ⋮ Non compact continuum limit of two coupled Potts models ⋮ Counting colored planar maps: algebraicity results ⋮ Topological order from quantum loops and nets ⋮ A polynomial invariant and duality for triangulations ⋮ Graphs, Links, and Duality on Surfaces ⋮ Planar diagrams for local invariants of graphs in surfaces

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