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

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

The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between t

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