Values of the $\mathfrak{sl}_2$ weight system at chord diagrams with complete intersection graphs

DOI10.4213/sm9873eOpenAlexW4389987049MaRDI QIDQ6146532

Unnamed Author

Publication date: 15 January 2024

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sm9873

zbMATH Keywords

complete graphchord diagram4-term relations\( \mathfrak{sl}_2\) weight systemshare of chord diagram

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Cites Work

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• Combinatorial aspects of continued fractions
• A generalization of the Kreweras triangle through the universal \(\mathrm{sl}_{2}\) weight system
• On the Vassiliev knot invariants
• Remarks on the Vassiliev knot invariants coming from \(sl_ 2\)
• An extension of the \(\mathfrak{sl}_2\) weight system to graphs with \(n \le 8\) vertices
• Mutant knots and intersection graphs
• Introduction to Vassiliev Knot Invariants
• Values of the weight system on a family of graphs that are not the intersection graphs of chord diagrams

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