Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• 1. Verfasser: Inaba, Michi-aki
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211871
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation. Michi-aki Inaba. SIGMA 19 (2023), 013, 72 pages

We introduce the notion of factorized ramified structure on a generic ramified irregular singular connection on a smooth projective curve. By using the deformation theory of connections with factorized ramified structure, we construct a canonical 2-form on the moduli space of ramified connections. S...