Michael Atiyah

K-theory

• Gebundenes Buch

Produktbeschreibung

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

Produktdetails

• Verlag: Taylor and Francis
• Seitenzahl: 238
• Erscheinungstermin: 13. Juni 2019
• Englisch
• Abmessung: 229mm x 152mm x 14mm
• Gewicht: 490g
• ISBN-13: 9780367091309
• ISBN-10: 0367091305
• Artikelnr.: 57382677

Autorenporträt

Michael Atiyah

Inhaltsangabe

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