English

Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type

Algebraic Geometry 2019-06-04 v1 High Energy Physics - Theory Symplectic Geometry Exactly Solvable and Integrable Systems

Abstract

We introduce integrable KdV type hierarchy associated naturally with arbitrary semi-simple Frobenius manifold. We present hierarchy in a Lax form and show that it admits bihamiltonian description.

Keywords

Cite

@article{arxiv.math/0108148,
  title  = {Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type},
  author = {Serguei Barannikov},
  journal= {arXiv preprint arXiv:math/0108148},
  year   = {2019}
}

Comments

13 pages, LaTeX