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Given an automorphism τ of a smooth complex algebraic curve X, there is an induced action of the finite group G generated by τ on the moduli space \mathscr{M} of semi-stable rank-2 holomorphic bundles of fixed degree. We give a complete description of the fixed variety in terms of moduli spaces of parabolic bundles with flags and weights at the special orbits on the quotient curve X/G.

AUTOMORPHISM FIXED POINTS IN THE MODULI SPACE OF SEMI-STABLE BUNDLES