Geometry and analysis on isospectral sets. II: Grassmannian, determinant bundle and the tau function, asymptotic case

DOI10.1016/0393-0440(95)00011-9zbMath0853.58013OpenAlexW2082305885WikidataQ127592973 ScholiaQ127592973MaRDI QIDQ1912264

Paolo Vanini

Publication date: 5 January 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00011-9

zbMATH Keywords

Grassmannianstau functiondeterminant bundleisospectral setsasymptotic case

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Cites Work

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• Solvability of the super KP equation and generalized of the Birkhoff decomposition
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• Geometry and analysis on isospectral sets. I: Riemannian geometry, asymptotic case
• Cohomological structure in soliton equations and Jacobian varieties
• Commuting flows and conservation laws for Lax equations
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

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