Bases on multipunctured Riemann surfaces and interacting strings amplitudes

@article{Sadov1991BasesOM,
  title={Bases on multipunctured Riemann surfaces and interacting strings amplitudes},
  author={Vladimir Alexander Sadov},
  journal={Communications in Mathematical Physics},
  year={1991},
  volume={136},
  pages={585-597}
}
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.