238 Pages
by
CRC Press
238 Pages
by
CRC Press
240 Pages
by
CRC Press
Also available as eBook on:
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 topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The... Read more
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
Biography
Michael Atiyah
