This monograph is based on lectures on topological quantum field theory given in 1989 at Princeton University by E. Witten, in which he unified several importan

This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consis

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

Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physi

This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum