{"product_id":"dirac-operators-and-spectral-geometry-9780521648622","title":"Dirac Operators and Spectral Geometry","description":"\u003cp\u003e • Author(s): Giampiero Esposito | Peter Goddard | Julia Yeomans\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Physics - General\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":47614628233367,"sku":"9780521648622","price":6236.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521648622.webp?v=1775095073","url":"https:\/\/atlanticbooks.com\/products\/dirac-operators-and-spectral-geometry-9780521648622","provider":"Atlantic Books","version":"1.0","type":"link"}