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The Mumford form and the Polyakov measure in string theory

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An explicit formula is derived for the Mumford form on the moduli space of algebraic curves. According to the Belavin-Knizhnik theorem, this gives a formula for the Polyakov bosonic string measure.

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Communicated by A. Jaffe

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Beilinson, A.A., Manin, Y.I. The Mumford form and the Polyakov measure in string theory. Commun.Math. Phys. 107, 359–376 (1986). https://doi.org/10.1007/BF01220994

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