2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28738A 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.9 pages, 1 figuresMesoscale and Nanoscale Physicstext