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math.AG2026
A Non-Abelian Approach to Riemann Surfaces
Mehrzad Ajoodanian
We develop a non-abelian, gauge-theoretic framework for the Schwarzian derivative and for second-order differential equations on Riemann surfaces. As applications, we extend Dedeki…
math.AG2025
A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry
Mehrzad Ajoodanian
We study projectively flat holomorphic vector bundles over Riemann surfaces. To each such bundle, we naturally assign a Wronskian line bundle. The main idea is a notion of the divi…