Contents

spin geometry

string geometry

cohomology

# Contents

## Idea

The Atiyah-Bott-Shapiro isomorphism (due to Atiyah-Bott-Shapiro 63) is an isomorphism between the real/complex topological K-theory ring of the point in degree $q$ and the quotient of Clifford modules of rank $q$ by those that have an extension to Clifford modules of rank $q+1$.

The generalization of this to Clifford module bundles is the content of Karoubi K-theory.

## References

The orginal reference is

The result is reviewed as theorem I 9.27 in

Created on November 24, 2014 at 12:45:14. See the history of this page for a list of all contributions to it.