Geometrical and Algebraic Structures in Quantum Hall Systems
Abstract
Description
We review the main features of a mathematical framework encompassing some of the salient quantum mechanical and geometrical aspects of Hall systems with finite size and general boundary conditions. Geometrical as well as algebraic structures controlling possibly the integral or fractional quantization of the Hall conductivity are discussed.
11 pages, 1 figure, Talk given at the "Conference on Higher Dimensional Quantum Hall Effect, Chern-Simons Theory and Non-Commutative Geometry in Condensed Matter Physics and Field Theory", Trieste, 1-4 march 2005
11 pages, 1 figure, Talk given at the "Conference on Higher Dimensional Quantum Hall Effect, Chern-Simons Theory and Non-Commutative Geometry in Condensed Matter Physics and Field Theory", Trieste, 1-4 march 2005