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

Boris Dubrovin; Si-Qi Liu; Youjin Zhang

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

Differential Geometry 2007-10-17 v1 Mathematical Physics math.MP

Authors: Boris Dubrovin , Si-Qi Liu , Youjin Zhang

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.

Keywords

Frobenius manifolds Drinfeld-Sokolov construction bihamiltonian structures affine Lie algebras Miura transformations central invariants integrable systems

Cite

@article{arxiv.0710.3115,
  title  = {Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures},
  author = {Boris Dubrovin and Si-Qi Liu and Youjin Zhang},
  journal= {arXiv preprint arXiv:0710.3115},
  year   = {2007}
}

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73 pages, no figures

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

Abstract

Keywords

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