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Synopsis
During the winter term 1987/88 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 A-genus. The A-genus 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 A-genus. 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 A-genus. 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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- PublisherVieweg
- Publication date1992
- ISBN 10 3528064145
- ISBN 13 9783528064143
- BindingPaperback
- LanguageEnglish
- Number of pages223
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Manifolds and Modular Forms, Vol. E20 (Aspects of Mathematics, E 20)
Seller: Grey Matter Books, Hadley, MA, U.S.A.
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Paperback. Condition: Very Good. Dust Jacket Condition: None Issued. HARDCOVER edition. Text is unmarked; pages are bright. Previous owner's signature in pen on the first free end page. Binding is sturdy. Covers are lightly shelf rubbed and lightly edge worn. No dust jacket, likely as issued. Seller Inventory # 071184
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Manifolds and Modular Forms
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Vieweg+Teubner, Vieweg+Teubner Verlag Jan 1992, 1992
ISBN 10: 3528064145
ISBN 13: 9783528064143
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -During the winter term 1987/88 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 A-genus. The A-genus 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 A-genus. 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 A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold. 212 pp. Deutsch. Seller Inventory # 9783528064143
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Manifolds and Modular Forms
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - During the winter term 1987/88 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 A-genus. The A-genus 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 A-genus. 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 A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold. Seller Inventory # 9783528064143
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Manifolds and Modular Forms
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Background.- Elliptic genera.- A universal addition theorem for genera.- Multiplicativity in fibre bundles.- The Atiyah-Singer index theorem.- Twisted operators and genera.- Riemann-Roch and elliptic genera in the complex case.- A divisibility theorem for e. Seller Inventory # 4866905
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Manifolds and Modular Forms, Vol. E20 (Aspects of Mathematics, E 20)
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Manifolds and Modular Forms
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Taschenbuch. Condition: Neu. Manifolds and Modular Forms | Friedrich Hirzebruch | Taschenbuch | Aspects of Mathematics | Paperback | xi | Deutsch | 1992 | Vieweg & Teubner | EAN 9783528064143 | Verantwortliche Person für die EU: Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, 65189 Wiesbaden, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105547379
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Manifolds and Modular Forms, Vol. E20 (Aspects of Mathematics, E 20)
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