An extension of the \(\mathfrak{sl}_2\) weight system to graphs with \(n \le 8\) vertices

DOI10.1007/s40598-021-00187-7zbMath1492.57006OpenAlexW3196446361MaRDI QIDQ2066771

Evgeny Krasilnikov

Publication date: 14 January 2022

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-021-00187-7

zbMATH Keywords

intersection graphweight systemVassiliev invariantschord diagram4-term relations

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Other combinatorial number theory (11B75) Relations of low-dimensional topology with graph theory (57M15) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Related Items (1)

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

Cites Work

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• On a weight system conjecturally related to \(\mathfrak{s}l_2\)
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• A generalization of the Kreweras triangle through the universal \(\mathrm{sl}_{2}\) weight system
• On the Vassiliev knot invariants
• On a Hopf algebra in graph theory
• Remarks on the Vassiliev knot invariants coming from \(sl_ 2\)
• Mutant knots and intersection graphs
• Values of the \(\mathfrak{sl}_2\) weight system on complete bipartite graphs
• Introduction to Vassiliev Knot Invariants

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