On the moduli of logarithmic connections on elliptic curves

Abstract

We describe moduli spaces of logarithmic rank $2$ connections on elliptic curves with $n\ge 1$ poles and generic residues. In particular, we generalize a previous work by the first and second named authors. Our main approach is to analyze the underlying parabolic bundles; their stability and instability play a major role.

Some changes in the exposition. Final version to appear in Math. Z.. Comments are still welcome!

References in corpus (3)

• Flat parabolic vector bundles on elliptic curves
• Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections
• A Map Between Moduli Spaces of Connections