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Books, Free Shipping, Heat Kernels And Dirac Operators

Posted at: Offers to Sell and Export | Posted on: Tue 27 Jul, 2010 8:00 am | Product Category: Reference books [3760]
 
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Product Details

Author Nicole Berline


Publisher World Publishing Corporation

Isbn 9787506292139, 7506292130

Published

August 2009

Pages 363

Size 24k

Edition First

Format Paperback

Language English

Page material gelatine plate paper

Product Description:

This book, which began as a seminar in 1985 at MIT, contains complete proofs of thelocal index theorem for Dirac operators using the heat kernel approach, together withits generalizations to equivariant Dirac operators and families of Dirac operators, aswell as background material on superconnections and equivariant differential forms.

Since the publication of the first edition, the subjects treated here have contin-ued to find new applications. Equivariant cohomology plays an important role in thestudy of symplectic reduction, and Bismut superconnections and the local index the-orem for families have had many applications, through the construction of higheranalytic torsion forms and currents. (For a survey of some of these developments, we recommend reading Bismut's talk at the Berlin International Congress of Mathe-maticians, reference

Although this book lacks some of the usual attributes of a textbook (such agenderercises), it has been widely used in advanced courses in differential geometry;for many of the topics discussed here, there are no other treatments available inmonograph form. Because of the continuing demand from students for the book, we were very



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