Polynomial graph invariants and linear hierarchies

DOI10.1070/RM9868zbMath1439.37070OpenAlexW2936472871MaRDI QIDQ5220228

B. S. Bychkov, Alexander V. Mikhailov

Publication date: 11 March 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9868

zbMATH Keywords

KP-hierarchy\(\tau\)-functionsgenerating seriesSchur polynomials

Mathematics Subject Classification ID

Graph polynomials (05C31) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (1)

Tutte polynomials of vertex-weighted graphs and group cohomology

Cites Work

• Unnamed Item
• Complex cobordism ring and conformal field theory over \({\mathbb{Z}}\)
• The Landweber-Novikov algebra and formal vector fields on the line
• KP Solitons and the Grassmannians
• Formal solutions to the KP hierarchy

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