Generic Jumps of Fredholm Indices and the Quantum Hall Effect
Mathematical Physics
2007-05-23 v1 Mesoscale and Nanoscale Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0003003,
title = {Generic Jumps of Fredholm Indices and the Quantum Hall Effect},
author = {Joseph E. Avron and Lorenzo Sadun},
journal= {arXiv preprint arXiv:math-ph/0003003},
year = {2007}
}
Comments
LateX, 17 pages, including one embedded postscript figure