A Map Between Moduli Spaces of Connections

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Loray, Frank, Ramírez, Valente
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211094
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Map Between Moduli Spaces of Connections. Frank Loray and Valente Ramírez. SIGMA 16 (2020), 125, 42 pages

We are interested in studying moduli spaces of rank 2 logarithmic connections on elliptic curves having two poles. To do so, we investigate certain logarithmic rank 2 connections defined on the Riemann sphere and a transformation rule to lift such connections to an elliptic curve. The transformation...