{"product_id":"9783540200628","title":"Grundlehren Text Editions","description":"\u003ch1\u003eGrundlehren Text Editions\u003c\/h1\u003e \u003ch2\u003eBerline, Nicole; Getzler, Ezra; Vergne, Michèle\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut), using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive softcover. The first four chapters could be used as the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. The next four chapters discuss the equivariant index theorem, and include a useful introduction to equivariant differential forms. The last two chapters give a proof, in the spirit of the book, of Bismut's Local Family Index Theorem for Dirac operators.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2003-12-08\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540200628\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-58088-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 363\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44698573308044,"sku":"9783540200628","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540200628.jpg?v=1775759716","url":"https:\/\/lateknightbooks.com\/products\/9783540200628","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}