Geometry of Spectral Curves and All Order Dispersive Integrable System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• ISSN: 1815-0659
• Main Authors: Borot, G., Eynard, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149186
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometry of Spectral Curves and All Order Dispersive Integrable System / G. Borot, B. Eynard // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 81 назв. — англ.

We propose a definition for a Tau function and a spinor kernel (closely related to Baker-Akhiezer functions), where times parametrize slow (of order 1/N) deformations of an algebraic plane curve. This definition consists of a formal asymptotic series in powers of 1/N, where the coefficients involve...