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.
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A. Buryak was partially supported by the Grants RFBR-07-01-00593, NSh-709.2008.1. Both A. Buryak and S. Shadrin were partly supported by the Vidi grant of NWO.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Buryak, A., Shadrin, S. A Remark on Deformations of Hurwitz Frobenius Manifolds. Lett Math Phys 93, 243–252 (2010). https://doi.org/10.1007/s11005-010-0410-8
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DOI: https://doi.org/10.1007/s11005-010-0410-8