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Index theory in geometry and physics


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Title: Index theory in geometry and physics
Authors: Goffeng, Magnus
E-mail: goffeng@chalmers.se
Issue Date: 6-Apr-2011
University: Göteborgs universitet. Naturvetenskapliga fakulteten
Institution: Department of Mathematical Sciences ; Institutionen för matematiska vetenskaper
Date of Defence: 2011-05-20
Disputation: Fredagen den 20 maj 2011, kl. 10.15, Hörsal Pascal, Matematiska Vetenskaper, Chalmers tvärgata 3
Degree: Doctor of Philosophy
Publication type: Doctoral thesis
Keywords: Index theory
Cyclic cohomology
Regularized index formulas
Toeplitz operators
Pseudo-differential operators
Quantum Hall effect
Abstract: This thesis contains three papers in the area of index theory and its applications in geometry and mathematical physics. These papers deal with the problems of calculating the charge deficiency on the Landau levels and that of finding explicit analytic formulas for mapping degrees of Hölder continuous mappings. The first paper deals with charge deficiencies on the Landau levels for non-interacting particles in R^2 under a constant magnetic field, or equivalently, one particle moving in a cons... more
ISBN: 978-91-628-8281-5
URI: http://hdl.handle.net/2077/24979
Appears in Collections:Doctoral Theses / Doktorsavhandlingar Institutionen för matematiska vetenskaper
Doctoral Theses from University of Gothenburg / Doktorsavhandlingar från Göteborgs universitet

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