The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator (Registro nro. 198332)

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International Standard Book Number 9780817682477
-- 978-0-8176-8247-7
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Transcribing agency MX-MeUAM
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Classification number QA614-614.97
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Classification number 514.74
Edition number 23
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL
Personal name Duistermaat, J. J.
Relator term author.
245 14 - MENCIÓN DE TITULO
Title The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
Medium [recurso electrónico] /
Statement of responsibility, etc. by J. J. Duistermaat.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Boston, MA :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
300 ## - DESCRIPCIÓN FÍSICA
Extent VIII, 247p.
Other physical details online resource.
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Media type term computer
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490 1# - MENCIÓN DE SERIE
Series statement Modern Birkhäuser Classics
505 0# - NOTA DE CONTENIDO
Formatted contents note 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.
520 ## - NOTA DE RESUMEN, ETC.
Summary, etc. Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler case the Dolbeault operator is no longer suitable for getting local formulas for the Riemann–Roch number or the holomorphic Lefschetz number. However, every symplectic manifold (phase space in classical mechanics) also carries an almost complex structure and hence a corresponding spin-c Dirac operator. Using the heat kernels theory of Berline, Getzler, and Vergne, this work revisits some fundamental concepts of the theory, and presents the application to symplectic geometry. J.J. Duistermaat was well known for his beautiful and concise expositions of seemingly familiar concepts, and this classic study is certainly no exception. Reprinted as it was originally published, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics. 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
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Topical term or geographic name as entry element Mathematics.
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650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Global analysis.
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Topical term or geographic name as entry element Operator theory.
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Topical term or geographic name as entry element Differential equations, partial.
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Topical term or geographic name as entry element Global differential geometry.
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Topical term or geographic name as entry element Mathematics.
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Topical term or geographic name as entry element Global Analysis and Analysis on Manifolds.
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Topical term or geographic name as entry element Partial Differential Equations.
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Topical term or geographic name as entry element Differential Geometry.
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Topical term or geographic name as entry element Analysis.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Operator Theory.
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710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
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Title Springer eBooks
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Relationship information Printed edition:
International Standard Book Number 9780817682460
830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME
Uniform title Modern Birkhäuser Classics
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS
Public note Libro electrónico
Uniform Resource Identifier <a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-8247-7">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-8247-7</a>
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Koha item type Libro Electrónico
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