In the first edition of this book, simple proofs of the
Atiyah-Singer Index Theorem for Dirac operators on compact
Riemannian manifolds and its generalizations (due to the authors
and J.-M. Bismut) were presented, using an explicit geometric
construction of the heat kernel of a generalized Dirac operator;
the new edition makes this popular book available to students and
researchers in an attractive paperback.
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