Artículos relacionados a The Heat Kernel Lefschetz Fixed Point Formula for the...

The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator (Modern Birkhäuser Classics) - Tapa blanda

Duistermaat, J.J.

 
9780817682460: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator (Modern Birkhäuser Classics)
Tapa blanda
ISBN 10: 0817682465 ISBN 13: 9780817682460
Editorial: Birkhäuser, 2011

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2011
Idioma
Inglés
ISBN 10 
0817682465
ISBN 13 
9780817682460
Encuadernación
Tapa blanda
Número de páginas
260
Contacto del fabricante
no disponible
Persona responsable
GPSR Kontakt
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Alemania