This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses K-Theory, a current topic of research. The focus of Professor Atiyah's work has been in the areas algebraic geometry and topology, but he has also had many interactions with theoretical physicists. In addition, this book includes papers of a more general nature, dealing with mathematical education and other related topics. The impetus behind this set of collected works of great mathematicians came from the Chinese American Professor S.S.Chern of Berkeley.
EARLY PAPERS ON K-THEORY:
24: Riemann-Roch theorems for differentiable manifolds.
25: Quelques théorèmes de non-plongement pour les variétés differentiables.
26: On complex Stiefel manifolds.
27: Bott periodicity and the parallelizability of the spheres.
28: Vector bundles and homogeneous spaces.
29: Characters and cohomology of finite groups.
30: Cohomologie-operationen und Charakteristische Klassen.
31: Charakteristische Klassen und Anwendungen.
32: Immersions and embeddings of manifolds.
33: Vector bundles and K"nneth formula.
34: Bordism and cobordism.
35: Thom complexes.
36: Analytical cycles on complex manifolds.
37: The Riemann-Roch theorem for analytical embeddings.
38: The Grothendieck ring in geometry and topology.
LATER PAPERS ON K-THEORY:
39: Clifford modules.
40: On the periodicity theorem for complex vector bundles.
41: On the K-theory of compact Lie groups.
42: K-theory and the Hopf invariant.
43: K-theory and reality.
44: Power operations in K-theory.
46: Bott periodicity and the index of elliptical operators.
47: Group representations, lambda-rings and the J-homomorphism.
48: Algebraic topology of operators in Hilbert space.
49: Equivariant K-theory and completion.
50: Vector fields on manifolds.
51: Exponential is omorphisms for lambda-rings.
52: Vector fields with finite singularities.
53: Elliptical operators and singularities of vector fields.
54: Compct Lie groups and the stable homotiopy of spheres.
55: A survey of K-theory.
Series: Volume 2. K-Theory : Book 2
Number Of Pages: 854
Published: 28th April 1988
Country of Publication: GB
Dimensions (cm): 19.68 x 25.4
Weight (kg): 1.98