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{ "item_title" : "Dirac Operators and Spectral Geometry", "item_author" : [" Giampiero Esposito", "Peter Goddard", "Julia Yeomans "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/52/164/862/0521648629_b.jpg", "price_data" : { "retail_price" : "66.00", "online_price" : "66.00", "our_price" : "66.00", "club_price" : "66.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Dirac Operators and Spectral Geometry|Giampiero Esposito

Dirac Operators and Spectral Geometry

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Overview

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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Details

  • ISBN-13: 9780521648622
  • ISBN-10: 0521648629
  • Publisher: Cambridge University Press
  • Publish Date: August 1998
  • Dimensions: 9 x 6 x 0.51 inches
  • Shipping Weight: 0.74 pounds
  • Page Count: 224

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