Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Author: Reyes, Felipe
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212039
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold. Felipe Reyes. SIGMA 19 (2023), 092, 21 pages

We study the family of ordinary differential equations associated with a Dubrovin-Frobenius manifold along its caustic. Upon just losing an idempotent at the caustic and under a non-degeneracy condition, we write down a normal form for this family and prove that the corresponding fundamental matrix...