Synopses & Reviews
Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler case
Review
Overall this is a carefully written, highly readable book on a very beautiful subject. —Mathematical ReviewsThe book of J.J. Duistermaat is a nice introduction to analysis related
Review
Overall this is a carefully written, highly readable book on a very beautiful subject. --Mathematical Reviews The book of J.J. Duistermaat is a nice introduction to analysis related
Synopsis
Reprinted as it originally appeared in the 1990s,
Synopsis
Reprinted as it originally appeared in the 1990s, this work is as an affordable textthat will be of interest to a range of researchers in geometric analysis and mathematical physics. Thebook covers avarietyof concepts fundamental tothe 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.
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Synopsis
Written by one of the leading geometric analysts of the late 20th century, this soft cover reprint covers 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.
Synopsis
Reprinted as it originally appeared in the 1990s,
Synopsis
Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler case
Table of Contents
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.