We show that the use of orbifold bundles enables some questions to be reduced to the case of flat bundles. The identification of moduli spaces of certain parabolic bundles over elliptic surfaces is achieved using this method.

MSC Classifications:

14J27, 32L07, 14H60, 14D20 show english descriptions Elliptic surfaces
unknown classification 32L07
Vector bundles on curves and their moduli [See also 14D20, 14F05]
Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13} 14J27 - Elliptic surfaces
32L07 - unknown classification 32L07
14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F05]
14D20 - Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}

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