A remark on deformations of Hurwitz Frobenius manifolds

Details A remark on deformations of Hurwitz Frobenius manifolds A remark on deformations of Hurwitz Frobenius manifolds

2009-12-27

arxiv.org/abs/0912.5114v1

Lett. Math. Phys. 93 (2010), no. 3, 243--252

Physics

Mathematical Physics

10 pages

Scientific paper

10.1007/s11005-010-0410-8

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.

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