Communications in Mathematical Physics

, Volume 136, Issue 3, pp 585–597 | Cite as

Bases on multipunctured Riemann surfaces and interacting strings amplitudes

  • V. A. Sadov


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.


Neural Network Statistical Physic Complex System Partition Function Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • V. A. Sadov
    • 1
  1. 1.L.D. Landau Institut for Theoretical PhysicsMoscowUSSR

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