• Corpus ID: 119142393

Algebra of Noncommutative Riemann Surfaces

  title={Algebra of Noncommutative Riemann Surfaces},
  author={Tadafumi Ohsaku},
  journal={arXiv: Mathematical Physics},
  • Tadafumi Ohsaku
  • Published 21 June 2006
  • Mathematics
  • arXiv: Mathematical Physics
We examine several algebraic properties of the noncommutive $z$-plane and Riemann surfaces. The starting point of our investigation is a two-dimensional noncommutative field theory, and the framework of the theory will be converted into that of a complex coordinate system. The basis of noncommutative complex analysis is obtained thoroughly, and the considerations on functional analysis are also given before performing the examination of the conformal mapping and the Teichmuller theory… 

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