{ "id": "math-ph/0003003", "version": "v1", "published": "2000-03-05T09:07:53.000Z", "updated": "2000-03-05T09:07:53.000Z", "title": "Generic Jumps of Fredholm Indices and the Quantum Hall Effect", "authors": [ "Joseph E. Avron", "Lorenzo Sadun" ], "comment": "LateX, 17 pages, including one embedded postscript figure", "categories": [ "math-ph", "cond-mat.mes-hall", "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.", "revisions": [ { "version": "v1", "updated": "2000-03-05T09:07:53.000Z" } ], "analyses": { "subjects": [ "81V70", "81Q70", "46C05" ], "keywords": [ "quantum hall effect", "fredholm indices", "generic jumps", "generic behavior", "open problems" ], "note": { "typesetting": "LaTeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math.ph...3003A" } } }