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

2007/10/16 by Boris Dubrovin, Siqi Liu, Si-Qi Liu +4 · 3 citations
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 #math-ph #math.DG #math.MP #msc:53D45

paper · pdf · doi:10.48550/arxiv.0710.3115

73 pages, no figures

arxiv created 2007/10/16 · openalex publication_date 2007/10/16 · arxiv updated 2009/12/01 · 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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