Die Grundlehren der Mathematischen Wissenschaften
1 total work
Vol 298
Heat Kernels and Dirac Operators
by Nicole Berline, Ezra Getzler, and Michele Vergne
Published December 1991
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.