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Flat Rank Two Vector Bundles on Genus Two Curves

Flat Rank Two Vector Bundles on Genus Two Curves

We study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the moduli space of underlying vector bundles (including unstable bundles), for which we compute a natural Lagrangian rational section.As a particularity of the genus 2 case, connections as …