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Sinopsis
During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms". The A-genus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes.
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This book provides a comprehensive introduction to the theory of elliptic genera due to Ochanine, Landweber, Stong, and others. The theory describes a new cobordism invariant for manifolds in terms of modular forms. The book evolved from notes of a course given at the University of Bonn. After providing some background material elliptic genera are constructed, including the classical genera signature and the index of the Dirac operator as special cases. Various properties of elliptic genera are discussed, especially their behaviour in fibre bundles and rigidity for group actions. For stably almost complex manifolds the theory is extended to elliptic genera of higher level. The text is in most parts self-contained. The results are illustrated by explicit examples and by comparison with well-known theorems. The relevant aspects of the theory of modular forms are derived in a seperate appendix, providing also a useful reference for mathematicians working in this field.
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Manifolds and Modular Forms
Publicado por
Vieweg+Teubner Verlag, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 23163618/202
Cantidad disponible: 1 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg+Teubner, Vieweg+Teubner Verlag Jan 1994, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Buch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: 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'. I wanted to develop the theory of 'Elliptic Genera' and to learn 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 Thorn 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 Chern 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 0 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. Englisch. Nº de ref. del artículo: 9783528164140
Cantidad disponible: 2 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg+Teubner Verlag, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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'. I wanted to develop the theory of 'Elliptic Genera' and to learn 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 Thorn 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 Chern 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 0 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. Nº de ref. del artículo: 9783528164140
Cantidad disponible: 1 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg+Teubner Verlag, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 4 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book provides a comprehensive introduction to the theory of elliptic genera due to Ochanine, Landweber, Stong, and others. The theory describes a new cobordism invariant for manifolds in terms of modular forms. The book evolved from notes of a course . Nº de ref. del artículo: 4867639
Cantidad disponible: Más de 20 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
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Librería: Books Puddle, New York, NY, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Condición: New. pp. xi + 2nd Edition. Nº de ref. del artículo: 26142280698
Cantidad disponible: 4 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Tapa blanda
Librería: Majestic Books, Hounslow, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Print on Demand pp. xi +. Nº de ref. del artículo: 135051301
Cantidad disponible: 4 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jan 1994, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -During the winter term 1987/88 I gave a course at the University of Bonn under the title 'Manifolds and Modular Forms'. I wanted to develop the theory of 'Elliptic Genera' and to learn 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 Thorn 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 Chern 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 0 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.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 228 pp. Englisch. Nº de ref. del artículo: 9783528164140
Cantidad disponible: 2 disponibles
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Manifolds and Modular Forms
Publicado por
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Tapa blanda
Librería: Biblios, Frankfurt am main, HESSE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. PRINT ON DEMAND pp. xi +. Nº de ref. del artículo: 18142280688
Cantidad disponible: 4 disponibles
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Manifolds and Modular Forms (Aspects of Mathematics)
Publicado por
Vieweg+Teubner Verlag, 1994
ISBN 10: 352816414X
ISBN 13: 9783528164140
Nuevo
Paperback
Librería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 2nd edition. 223 pages. 9.00x6.25x0.75 inches. In Stock. Nº de ref. del artículo: 352816414X
Cantidad disponible: 1 disponibles