دانلود کتاب K-Theory (An Introduction)

فهرست مطالب :

Summary of the Book by Sections
Chapter I. Vector Bundles
1. Quasi-Vector Bundles
2. Vector Bundles
3. Clutching Theorems
4. Operations on Vector Bundles
5. Sections of Vector Bundles
6. Algebraic Properties of the Category of Vector Bundles
7. Homotopy Theory of Vector Bundles
8. Metrics and Forms on Vector Bundles
9. Exercises
10. Historical Note
Chapter II. First Notions of K-Theory
1. The Grothendieck Group of a Category. The Group K(X)
2. The Grothendieck Group of a Functor. The Group K(X, Y)
3. The Group K-¹ of a Banach Category. The Group K-¹(X)
4. The Groups K-ⁿ(X) and K-ⁿ(X, Y)
5. Multiplicative Structures
6. Exercises
7. Historical Note
Chapter III. Bott Periodicity
1. Periodicity in Complex K-Theory
2. First Applications of Bott Periodicity Theorem in Complex K-Theory
3. Clifford Algebras
4. The Functors Kᵖ,q(