Loop Spaces, Characteristic Classes and Geometric Quantization

Introduction.- Complexes of Sheaves and Their Cohomology.- Line Bundles and Geometric Quantization.- Kähler Geometry of the Space of Knots.- Degree 3 Cohomology: The Dixmier-Douady Theory.- Degree 3 Cohomology: Sheave of Groupoids.- Line Bundles over Loop Spaces.- The Dirac Monopole.- Bibliography.- List of Notations.- Index.