Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 390

Geometric properties of transport in quantum hall systems

Thomas Richter and Ruedi Seiler

Geometry and Quantum Physics, Proc. of the 38 Int. Universitätswochen f. Kern und Teilchenphyik, Schladming, Austria, Jan 9-16, 1999, H. Gausterer, H. Grosse and L. Pttner (Eds.), Lecture Notes in PhysicsVol ?? (Springer-Verlag Berlin Heidelberg: 1999)

We give a review of theoretical approaches to the quantum Hall effect and present mathematical tools like the adiabatic theorem, the Chern number andindex theorems to discuss it

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