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Heat Kernels and Dirac Operators

Categorie	Algemeen wetenschap
Boeknummer	#342430-ZA26
Titel	Heat Kernels and Dirac Operators
Auteur	Berline, Nicole - and others
Boektype	Gebonden hardcover
Uitgeverij	Berlin/Heidelberg : Springer-Verlag
Jaar van uitgave	1996
ISBN10	3540533400
ISBN13	9783540533405
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations, 8vo. Grundlehren der mathematischen Wissenschaften, 298.
Samenvatting	The past few years have seen the emergence of new insights into the Atiyah-Singer Index Theorem for Dirac operators. In this book, elementary proofs of this theorem, and some of its more recent generalizations, are presented. The formula for the index of the Dirac operator is obtained from the classical formula for the heat kernel of the harmonic oscillator. The only prerequisite to reading this book is a familiarity with basic differential geometry. There are several chapters of preparatory material, including a treatment of connections and Quillen's theory of superconnections, characteristic classes, the theory of the heat equation and its solution on a compact manifold, Clifford algebras, Dirac operators and equivariant differential forms. The book finishes with a treatment of the index... (Lees verder) bundle and Bismut's local version of the Atiyah-Singer Index Theorem for families. As an application, the curvature of the determinant line bundle is calculated, following Bismut and Freed.
Pagina's	368
Conditie	Goed — Name in pen on title page.
Prijs	€ 30,00

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