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Ajouter au panierCloth. Etat : Very Good. Type: Book Small plain label inside cover.
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ISBN 10 : 0521613051 ISBN 13 : 9780521613057
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Ajouter au panierPaperback. Etat : Good. 2nd edition. In original shrinkwrap, with a remainder mark on the bottom edge of the textblock. 308 pages. MSRI 9. Size: 6" x 9".
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Ajouter au panierEtat : New. pp. xiii + 293 2nd Edition.
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Ajouter au panierTaschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. The typical setting here is given by a family of elliptic operators (Pb) on the total space of a fibre bundle P = F_M_B. where is defined the Hilbert space on Pb 2 L 1p -llbl.dvollFll. In this case there is an abstract index class indlPI E ROIBI. Once the problem is properly formulated it turns out that no further deep analvtic information is needed in order to identify the class. These theorems and their equivariant counterparts have been enormously useful in topology. geometry. physics. and in representation theory.
Edité par Cambridge University Press 2005-12-19, 2005
ISBN 10 : 0521613051 ISBN 13 : 9780521613057
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Edité par Springer-Verlag GmbH & Co. KG
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Ajouter au panierEtat : Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher.
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Ajouter au panierPaperback. Etat : Brand New. reprint edition. 344 pages. 9.25x6.10x0.80 inches. In Stock.
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Ajouter au panierPaperback. Etat : new. Paperback. Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry and topology. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo) - differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This second edition presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). It includes the necessary background from analysis, geometry, and topology. The present edition has improved exposition, an updated bibliography, an index, and additional material covering developments and applications since the first edition came out, including the confirmation of the Gap Labeling Conjecture of Jean Bellissard. Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo)-differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This book presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
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Ajouter au panierPaperback. Etat : Brand New. 2nd edition. 308 pages. 9.25x6.50x0.75 inches. In Stock.
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Ajouter au panierTaschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents a complete proof of Alain Connes Index Theorem generalized to foliated spaces. Connes result is itself an abstraction of the Atiyah-Singer index theorem to the context of foliated manifolds. The book brings together the necessary background from analysis, geometry, and topology. It thus provides a natural introduction to some of the basic ideas and techniques of noncommutative topology. The present edition has improved exposition, an updated bibliography, an index, and additional material covering new developments and applications since the first edition appeared.
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Edité par Cambridge University Press, 2005
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Edité par Springer-Verlag New York Inc., New York, NY, 2011
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Ajouter au panierPaperback. Etat : new. Paperback. Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. The typical setting here is given by a family of elliptic operators (Pb) on the total space of a fibre bundle P = F_M_B. where is defined the Hilbert space on Pb 2 L 1p -llbl.dvollFll. In this case there is an abstract index class indlPI E ROIBI. Once the problem is properly formulated it turns out that no further deep analvtic information is needed in order to identify the class. These theorems and their equivariant counterparts have been enormously useful in topology. geometry. physics. and in representation theory. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Edité par Cambridge University Press, 2005
ISBN 10 : 0521613051 ISBN 13 : 9780521613057
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Edité par Cambridge University Press, Cambridge, 2006
ISBN 10 : 0521613051 ISBN 13 : 9780521613057
Langue: anglais
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Ajouter au panierPaperback. Etat : new. Paperback. Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry and topology. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo) - differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This second edition presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). It includes the necessary background from analysis, geometry, and topology. The present edition has improved exposition, an updated bibliography, an index, and additional material covering developments and applications since the first edition came out, including the confirmation of the Gap Labeling Conjecture of Jean Bellissard. Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo)-differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This book presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Edité par Cambridge University Press, 2005
ISBN 10 : 0521613051 ISBN 13 : 9780521613057
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