arXiv:math-ph/0003003 Abstract

arXiv:math-ph/0003003Abstract References Reviews Resources

Generic Jumps of Fredholm Indices and the Quantum Hall Effect

Published 2000-03-05Version 1

We describe the generic behavior of Fredholm indices in the space of Toeplitz operators. We relate this behavior to certain conjectures and open problems that arise in the context of the Quantum Hall Effect.

Comments: LateX, 17 pages, including one embedded postscript figure

Categories: math-ph, cond-mat.mes-hall, math.MP

Subjects: 81V70, 81Q70, 46C05

Keywords: quantum hall effect, fredholm indices, generic jumps, generic behavior, open problems

Related articles: Most relevant | Search more

arXiv:math-ph/0008040 (Published 2000-08-31)

Fredholm Indices and the Phase Diagram of Quantum Hall Systems

Joseph E. Avron, Lorenzo Sadun

arXiv:2401.07449 [math-ph] (Published 2024-01-15)

Fock space: A bridge between Fredholm index and the quantum Hall effect

Guo Chuan Thiang, Jingbo Xia

arXiv:0910.5490 [math-ph] (Published 2009-10-28)

Almost Commuting Matrices, Localized Wannier Functions, and the Quantum Hall Effect

M. B. Hastings, T. A. Loring

arXiv Analytics