Flat Structure on the Space of Isomonodromic Deformations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Kato, Mitsuo, Mano, Toshiyuki, Sekiguchi, Jiro
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211010
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Flat Structure on the Space of Isomonodromic Deformations. Mitsuo Kato, Toshiyuki Mano and Jiro Sekiguchi. SIGMA 16 (2020), 110, 36 pages

Flat structure was introduced by K. Saito and his collaborators at the end of 1970's. Independently, the WDVV equation arose from the 2D topological field theory. B. Dubrovin unified these two notions as a Frobenius manifold structure. In this paper, we study isomonodromic deformations of an Ok...