The Heat Kernel Lefschetz Fixed Point Formula for the Spin-C Dirac Operator: 18 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover
Synopsis
This work uses the heat kernal theory of Berline-Getzler-Vergne to focus on the special case of the spin-c Dirac operators on almost complex manifolds. A large part of the text has a wider scope than spin-c Dirac, such as the asymptotic expansion of heat kernels for generalized Laplace operators.
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About the Author
Hans Duistermaat was a geometric analyst, who unexpectedly passed away in March 2010. His research encompassed many different areas in mathematics: ordinary differential equations, classical mechanics, discrete integrable systems, Fourier integral operators and their application to partial differential equations and spectral problems, singularities of mappings, harmonic analysis on semisimple Lie groups, symplectic differential geometry, and algebraic geometry. He was (co-)author of eleven books. Duistermaat was affiliated to the Mathematical Institute of Utrecht University since 1974 as a Professor of Pure and Applied Mathematics. During the last five years he was honored with a special professorship at Utrecht University endowed by the Royal Netherlands Academy of Arts and Sciences. He was also a member of the Academy since 1982. He had 23 PhD students.
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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
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Birkhauser, Boston, 1995
ISBN 10: 0817638652
ISBN 13: 9780817638658
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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator (Progress in Nonlinear Differential Equations and Their Applications, 18, Band 18)
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ISBN 10: 0817638652
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