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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.
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...
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