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

AvJ.J. Duistermaat

Häftad, Engelska, 2011

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2011-07-08
Mått:155 x 235 x 18 mm
Vikt:384 g
Format:Häftad
Språk:Engelska
Serie:Modern Birkhäuser Classics
Antal sidor:247
Upplaga:2011
Förlag:Birkhauser Boston Inc
ISBN:9780817682460

Utforska kategorier

Matematisk fysik inom Naturvetenskap och teknik

Recensioner i media

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 [to the] spin-c Dirac operator. ... The book is almost self contained, [is] readable, and will be useful for anybody who is interested in the topic. -EMS Newsletter The author's book is a marvelous introduction to [these] objects and theories. -Zentralblatt MATH

Innehållsförteckning

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.