On Generalized WKB Expansion of Monodromy Generating Function

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Author: Klimov, Roman
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211917
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Generalized WKB Expansion of Monodromy Generating Function. Roman Klimov. SIGMA 19 (2023), 026, 36 pages

We study symplectic properties of the monodromy map of the Schrödinger equation on a Riemann surface with a meromorphic potential having second-order poles. At first, we discuss the conditions for the base projective connection, which induces its own set of Darboux homological coordinates, to imply...