A T^*M-torsor of projective connections on stable bundles over a curve is identified, up to a constant, with the torsor of holomorphic connections on the theta line bundle over the moduli space.
Lax formulation for harmonic maps to a moduli of bundles
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I define an algebraic metric and closed 3-form on a subspace $\mathcal{M}$ of the moduli of $G$-bundles on a complex projective curve $C$, and show that the resulting two-dimensional $\sigma$-model with target $\mathcal{M}$ has a zero-curvature formulation.
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Torsors over moduli spaces of vector bundles over curves of fixed determinant
A T^*M-torsor of projective connections on stable bundles over a curve is identified, up to a constant, with the torsor of holomorphic connections on the theta line bundle over the moduli space.