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FIBRE BUNDLES (M2, Husemoller)

Lecture Topic : (Pure Math) FIBRE BUNDLES (M2, Husemoller)

Prerequisites : Abstract Algebra (M1); Homology-Cohomology (M1); Homotopy Theory (M1); Differential Manifolds (M1);

Recommended Text(s) :

“Fibre Bundles”, 2nd Edn., Graduate Texts in Mathematics (GTM) No. 20, Dale Husemoller, Springer, 1975.

Approx price new on (hard copy) :   –

Approx price second hand on (hard copy) : $46

Availability free on (e-format) : yes?

eMule search key word(s) : Husemoller, Fibre Bundles

Lectures and Links :


Lecture 1  (link)

Ch.1   Preliminaries on Homotopy Theory


Lecture 2  (link)

Ch.2   Generalities on Bundles


Lecture 3  (link)

Ch.3   Vector Bundles


Lecture 4 (link)

Ch.4   General Fibre Bundles


Lecture 5  (link)

Ch.5   Local Coordinate Description of Fibre Bundles


Lecture 6  (link)

Ch.6   Change of Structure Group in Fibre Bundles


Lecture 7  (link)

Ch.7   Calculations Involving the Classical Groups


Lecture 8  (link)

Ch.8   Stability Properties of Vector Bundles


Lecture 9  (link)

Ch.9   Relative k-Theory


Lecture 10  (link)

Ch.10   Bott Periodicity in the Complex Case


Lecture 11  (link)

Ch.11   Clifford Algebras


Lecture 12  (link)

Ch.12   TheAdamsOperations and Representations


Lecture 13  (link)

Ch.13   Representation Rings of Classical Groups


Lecture 14  (link)

Ch.14   The Hopf Invariant


Lecture 15  (link)

Ch.15   Vector Fields on the Sphere and Stable Homotopy


Lecture 16  (link)

Ch.16   Chern Classes and Stieffel-Whitney Classes


Lecture 17  (link)

Ch.17   Differentiable Manifolds


Lecture 18  (link)

Ch.18   General Theory of Characteristic Classes


Lecture 19  (link)

Appendix 1 : Dold’s Theory of Local Properties of Bundles


Lecture 20  (link)

Appendix 2 : On the Double Suspension


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