Graduate Texts in Mathematics
1 primary work • 2 total works
Book 111
First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new appendices
v. 20
Fibre bundles play an important role in every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. In this third edition, two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added. These chapters result from the important role of the gauge group in mathematical physics and the continual usefulness of characteristic classes defined with connections on vector bundles.