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

Buch | Softcover
247 Seiten
2011
Birkhauser Boston Inc (Verlag)
978-0-8176-8246-0 (ISBN)

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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator - J.J. Duistermaat
69,54 inkl. MwSt
Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics.
Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics. The book covers a variety of concepts fundamental to the study and applications of the spin-c Dirac operator, making use of the heat kernels theory of Berline, Getzlet, and Vergne. True to the precision and clarity for which J.J. Duistermaat was so well known, the exposition is elegant and concise.

1 Introduction.- 2 The Dolbeault-Dirac Operator.- 3 Clifford Modules.- 4 The Spin Group and the Spin-c Group.- 5 The Spin-c Dirac Operator.- 6 Its Square.- 7 The Heat Kernel Method.- 8 The Heat Kernel Expansion.- 9 The Heat Kernel on a Principal Bundle.- 10 The Automorphism.- 11 The Hirzebruch-Riemann-Roch Integrand.- 12 The Local Lefschetz Fixed Point Formula.- 13 Characteristic Case.- 14 The Orbifold Version.- 15 Application to Symplectic Geometry.- 16 Appendix: Equivariant Forms.

Reihe/Serie Modern Birkhäuser Classics
Zusatzinfo VIII, 247 p.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie
Schlagworte Differential topology • Dirac Operator • heat kernels • Laplace Operator • Lefschetz fixed point formula • spin-c group • Symplectic Geometry
ISBN-10 0-8176-8246-5 / 0817682465
ISBN-13 978-0-8176-8246-0 / 9780817682460
Zustand Neuware
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