The heat Kernel Lefschetz fixed point formula forthe spin-c Dirac operator

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 fundamentalto the study and applications of the spin-c Dirac operator, making use of theheat 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. Affordable softcover edition of the only book ever published on the subject. Written by one of the leading geometric analysts of the late 20th century. Presents interesting applications of theory. Gives an accessible approach to the field. INDICE: 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 Kernelon 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.

• ISBN: 978-0-8176-8246-0
• Editorial: Birkhäuser Boston
• Encuadernacion: Rústica
• Páginas: 247
• Fecha Publicación: 22/08/2011
• Nº Volúmenes: 1
• Idioma: Inglés