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Bases on multipunctured Riemann surfaces and interacting strings amplitudes

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The Krichever-Novikov bases are studied on Riemann surfaces with more-than-two punctures. The bases are presented and the completness theorem is proven for the case of integer (up to a common constant) momenta. Then the interacting strings are considered, the amplitudes and partition functions are obtained, comparable with that of path-integral approach. For the amplitudes the simple geometric implication is proposed.

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Communicated by Ya. G. Sinai

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Sadov, V.A. Bases on multipunctured Riemann surfaces and interacting strings amplitudes. Commun.Math. Phys. 136, 585–597 (1991). https://doi.org/10.1007/BF02099075

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  • DOI: https://doi.org/10.1007/BF02099075

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