Loop Spaces, Characteristic Classes and Geometric Quantization - Brylinski, Jean-Luc (Birkhäuser Boston, 1993)
This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids and the relations of this geometry to the mathematical physics. Various developments in mathematical physics (e. g. in knot theory, gauge theory and topological quantum field theory) have led mathematicians and physicists to search for new geometric structures on manifolds and to seek a synthesis of ideas from geometry, topology and category theory.
Keywords: Mathematics; Algebra; Global differential geometry; Topology; Differential Geometry; Category Theory, Homological Algebra; Mathematik; Geometrische Quantisierung; Schleifenraum; Kohomologie; Charakteristische Klasse; Geradenbündel; Garbe -- Mathematik