Conical \(\mathrm{SL}(3)\) foams

DOI10.4171/JCA/61zbMath1492.05034arXiv2011.11077MaRDI QIDQ2154781

Louis-Hadrien Robert, Mikhail G. Khovanov

Publication date: 15 July 2022

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11077

zbMATH Keywords

planar graphsfoamsTait colorings

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Coloring of graphs and hypergraphs (05C15) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Cites Work

• Unnamed Item
• Geometric coloring theory
• Every planar map is four colorable. I: Discharging
• Tait colorings, and an instanton homology for webs and foams
• \(\text{sl}(3)\) link homology
• Topological quantum field theories derived from the Kauffman bracket
• Spiders for rank 2 Lie algebras
• A deformation of instanton homology for webs
• Foam evaluation and Kronheimer-Mrowka theories
• A closed formula for the evaluation of foams
• The universal \(\mathrm{sl}_3\)-link homology
• Exact triangles forSO(3) instanton homology of webs
• ON KHOVANOV'S COBORDISM THEORY FOR $\mathfrak{su}_3$ KNOT HOMOLOGY
• Computer Bounds for Kronheimer–Mrowka Foam Evaluation

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