"An Introduction to Twisted K-Theory"

In the late 1960's Donovan and Karoubi introduced classical twisted K-theory
$K_E^0(X)$, where $X$ is a finite complex and $E$ is a certain type of
bundle of algebras over $X$. It may be described both analytically and
topologically and receives its strength from both directions. In the last
several years, a quantum variant of twisted K-theory has turned out to be
very useful to some mathematical physicists. We will present the basic
properties of twisted K-theory - but no physics. This is an expository talk
and will be accessible to graduate students.


Claude Schochet

Mathematics Dept., Wayne State University