English

A remark on deformations of Hurwitz Frobenius manifolds

Mathematical Physics 2010-09-30 v1 math.MP

Abstract

In this note we use the formalism of multi-KP hierarchies in order to give some general formulas for infinitesimal deformations of solutions of the Darboux-Egoroff system. As an application, we explain how Shramchenko's deformations of Frobenius manifold structures on Hurwitz spaces fit into the general formalism of Givental-van de Leur twisted loop group action on the space of semi-simple Frobenius manifolds.

Keywords

Cite

@article{arxiv.0912.5114,
  title  = {A remark on deformations of Hurwitz Frobenius manifolds},
  author = {A. Buryak and S. Shadrin},
  journal= {arXiv preprint arXiv:0912.5114},
  year   = {2010}
}

Comments

10 pages