Discover information, advice, and prices for Manifolds and Modular Forms Vol sold for 78.75 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .
During the winter term 198788 I gave a course at the University of Bonn under the title Manifolds and Modular Forms Iwanted to develop the theory of Elliptic Genera and to leam it myself on this occasion This theory due to Ochanine Landweber Stong and others was relatively new at the time The word genus is meant in the sense of my book Neue Topologische Methoden in der Algebraischen Geometrie published in 1956 A genus is a homomorphism of the Thom cobordism ring of oriented compact manifolds into the complex numbers Fundamental examples are the signature and the Agenus The Agenus equals the arithmetic genus of an algebraic manifold provided the first Chem class of the manifold vanishes According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure The elliptic genera depend on a parameter For special values of the parameter one obtains the signature and the Agenus Indeed the universal elliptic genus can be regarded as a modular form with respect to the subgroup r 2 of the modular group the two cusps o giving the signature and the Agenus Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold
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Discover information, advice, and prices for Manifolds and Modular Forms Vol, priced at 140.07 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .
During the winter term 198788 I gave a course at the University of Bonn under the title Manifolds and Modular Forms Iwanted to develop the theory of Elliptic Genera and to leam it myself on this occasion This theory due to Ochanine Landweber Stong and others was relatively new at the time The word genus is meant in the sense of my book Neue Topologische Methoden in der Algebraischen Geometrie published in 1956 A genus is a homomorphism of the Thom cobordism ring of oriented compact manifolds into the complex numbers Fundamental examples are the signature and the Agenus The Agenus equals the arithmetic genus of an algebraic manifold provided the first Chem class of the manifold vanishes According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure The elliptic genera depend on a parameter For special values of the parameter one obtains the signature and the Agenus Indeed the universal elliptic genus can be regarded as a modular form with respect to the subgroup r 2 of the modular group the two cusps o giving the signature and the Agenus Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold
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Neudruck der Ausgabe Bonn 1861 XII 511 Seiten Leineneinband Restauflagenexemplar zum Sonderpreis Remainder special price Statt EUR 5020 jetzt EUR 2990 Es handelt sich um ein neues Restauflagenexemplar der Auflage von 1972 von der nur noch wenige Exemplare vorhanden sind Aufgrund der langen Lagerung kann es durchaus zu Lagerspuren am Einband gekommen sein This is a new copy of the remainders of the edition of 1972 There are only a few copies available yet Because of the long time storage some storage marks are unavoidable Portofreie Lieferung weltweit No shipping charge worldwide
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