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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2012 Volume 279, Pages 193–205 (Mi tm3438)

This article is cited in 1 paper

Magnetic Bloch theory and noncommutative geometry

A. G. Sergeev

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: An interpretation of the magnetic Bloch theory in terms of noncommutative geometry is given. As an application we obtain a mathematical interpretation of the quantum Hall effect.

Received in March 2012


 English version:
Proceedings of the Steklov Institute of Mathematics, 2012, 279, 181–193

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