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`http://hdl.handle.net/2077/24979` |

**Files in This Item:**

File | Description | Size | Format | |
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gupea_2077_24979_1.pdf | Thesis | 1875Kb | Adobe PDF | View/Open |

gupea_2077_24979_2.pdf | Spikblad | 73Kb | Adobe PDF | View/Open |

gupea_2077_24979_6.pdf | Errata | 108Kb | Adobe PDF | View/Open |

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 |