The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are pres

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

This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a ga

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

The collection of papers forming this volume is intended to provide a deeper study of some mathematical and physical subjects which are at the core of recent de