K-Theory

Auteur

Michael Atiyah

Texte du rabat

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set

Contenu
Vector Bundles Basic definitions Operations on vector bundles Sub-bundles and quotient bundles Vector bundles on compact spaces Additional structures G-bundles over G-spaces K-Theory Definitions Elementary properties The Bott periodicity theorem Kg(X) Computations of K(X) for some X Multiplication in K(X,Y) The Thom isomorphism Operations Exterior powers The Adams operations The group J(X) Reprint: Power operations in K-Theory Reprint: K-Theory and reality