On Abel-Jacobi maps of moduli of parabolic bundles over a curve

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The Abel-Jacobi maps generalize the usual Jacobi map for curves to the case of nonsingular complex projective varieties. Here, we study certain Abel-Jacobi maps on the moduli space of parabolic stable bundles of fixed rank, determinant and generic weight over a nonsingular complex projective curve. We prove that the maps are split surjections.