Algebra of shares, complete bipartite graphs and $\mathfrak{sl}_2$ weight system

DOI10.4213/sm9795eOpenAlexW4388982769MaRDI QIDQ6189001

Maxim E. Kazaryan, Unnamed Author

Publication date: 12 January 2024

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

Full work available at URL: http://mathnet.ru/eng/sm9795

zbMATH Keywords

complete bipartite graphchord diagram\( \mathfrak{sl}_2\) weight systemshare of chord diagram

Mathematics Subject Classification ID

Graph polynomials (05C31) Universal enveloping (super)algebras (17B35) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Cites Work

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• Incidence Hopf algebras
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• 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
• On the structure of Hopf algebras
• Values of the \(\mathfrak{sl}_2\) weight system on complete bipartite graphs
• Introduction to Vassiliev Knot Invariants
• Coalgebras and Bialgebras in Combinatorics
• Values of the weight system on a family of graphs that are not the intersection graphs of chord diagrams

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