In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in q

Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface betwe

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. Whi

The emergence of topological quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- ematical physics in

Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980