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Fibre Bundles: Dale Husemöller

Fibre bundles play an important role in just about 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.

About the Author

Dale Husemoller is Professor of Mathematics at Haverford College (PA). Most of his research has been in algebraic topology, homological algebra, and related fields. Together with John Milnor, Husemoller is author of Symmetric Bilinear Forms (Springer-Verlag, 1973). He is also the author of Elliptic Curves (Springer-Verlag, 1987) and cyclic homology (Tata Lecture notes, 1991). Visits abroad include the IHES (Institut des Hautes Etudes Scientifiques) in France, Universit& xE4;t Bonne and Universit& xE4;t Heidelberg in Germany, ETH in Z& xFC;rich, Switzerland, and the Tata Institute of Fundamental Research in Bombay, India.

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