The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

Using the heat kernels theory of Berline, Getzler and Vergne, Duistermaat revisits some fundamental concepts of the theory, and presents the application to symplectic geometry.

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Revisits fundamental concepts of the heat kernel Lefschetz fixed point formula for the spin-c Dirac operator, using the heat kernel theories of Berline, Getzler, and Vergne, and presents its application to symplectic geometry. Treats subjects including Clifford modules, the Hirzebruch-Riemann-Roch integrand, and the orbifold version, and offers an appendix on equivariant forms. Annotation c. Book News, Inc., Portland, OR (booknews.com)