Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures

2007/10/16 by Boris Dubrovin, Siqi Liu, Dubrovin, Boris +3
Mathematics · Physics and Astronomy · #53D45 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0710.3115

openalex publication_date 2007/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Drinfeld - Sokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete set of invariants of the related bihamiltonian structures with respect to the group of Miura type transformations.

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