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Erratum: “Geometric prequantization of the moduli space of the vortex equations on a Riemann surface” [J. Math. Phys.47, 103501 (2006)]
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In this erratum to a work done previously, we give an alternative description for the prequantization with respect to the forms , where we do not need the 1-form which may not be globally defined. Next by modifying the Quillen metric of the usual determinant bundle suitably, we quantize the usual symplectic form on the vortex moduli space. Next, we show that by modifying the Quillen metric, one can also interpolate between the forms and and the corresponding prequantum line bundles are topologically equivalent. It is not clear whether they are holomorphically equivalent.
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