DIRAC OPERATORS AND SPECTRAL GEOMETRY VOL:12

書名:	DIRAC OPERATORS AND SPECTRAL GEOMETRY VOL:12
作者:	ESPOSITO
ISBN:	9780521648622
出版社:	Cambridge
出版日期:	1998/01
書籍開數、尺寸:	22.86x15.24x1.3
頁數:	224
#數學與統計學

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DIRAC OPERATORS AND SPECTRAL GEOMETRY VOL:12

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The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or nonlocal boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a invaluable reference to the Dirac operator and its applications in theoretical physics.

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