Böcker av Daniel S. Freed

Presents the major mathematical works of Isadore Singer, selected by Singer himself, and organized thematically into three volumes. This volume covers index theory. Each volume presents the works on its theme in roughly chronological order.

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized.

From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate...