Connections, Curvature, and Cohomology: Lie groups, principal bundles, and characteristic classes

• Author(s): Werner Hildbert Greub, Stephen Halperin, Ray Vanstone,
• Publisher: Academic Press
• Pages: 541
• ISBN_10: 0123027020
  ISBN_13: 9780123027023
  
• Language: en
• Categories: Mathematics / Geometry / Differential ,

Description:... This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. This volume deals with Lie groups and with fibre bundles whose structure group is a Lie group. The last half of the book is devoted to the Chern-Weil theory of characteristic classes in particular.