Michael Atiyah: Collected Works Volume 2: Early Papers on K-Theory Volume 2: Early Papers on K-Theory

by Atiyah, Michael

• ISBN13: 9780198532767
• ISBN10: 0198532768
• Format: Hardcover
• Copyright: 1988-06-30
• Publisher: Clarendon Press

Summary

Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject.These papers, covering the years 1959-62, consist mainly of Michael Atiyah's joint papers with F. Hirzebruch on K-Theory.

Table of Contents

Early Papers on K-Theory

Riemann-Roch Theorems for Differentiable Manifolds

Quelques Theoremes de Non-Plongement pour les Varietes

On Complex Stiefel Manifolds

Bott Periodicity and the Parallelizability of the Spheres

Vector Bundles and Homogeneous Spaces

Characters and Cohomology of Finite Groups

Cohomologie-Operationen und Charakteristische Klassen

Charakteristische Klassen und Andwendungen

Immersions and Embeddings of Manifolds

Vector Bundles and the Kunneth Formula

Bordism and Cobordism

Thom Complexes

Analytic Cycles on Complex Manifolds

The Riemann-Roch Theorem for Analytic Embeddings

The Grothendieck Ring in Geometry and Topology

Clifford Modules

On the Periodicity Theorem for Complex Vector Bundles

On the K-Theory of Compact Lie Groups

K-Theory and the Hopf Invariant

K-Theory and Reality

Power Operations in K-Theory

K-Theory

Bott Periodicity and the Index of Elliptic Operators

Group Representations

Algebraic Topology of Operators in Hilbert Space

Equivariant K-Theory and Completion

Vector Fields on Manifolds

Exponential Isomorphisms for Lamda Rings

Vector Fields with Finite Singularities

Elliptic Operators and Singularities of Vector Fields

Compact Lie Groups and the Stable Homotopy of Spheres

A Survey of K-Theory

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