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

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

This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Fro