Fractional Quantization and Fractional Quantum Hall Effect
  A fractional quantization in a two dimensional space is proposed.   The angular momenta of the two dimensional electrons are quantized in fractional numbers by the boundary conditions on a multi-layered Riemann surface. Extended wave functions for the incompressible quantum fluid states are presented and the cohesive and the excitation energies are given. 
Hyeong Rag Lee (Dept. of Phys, KNU, Taegu, Korea)