Published by Springer-Verlag, New York, 1988
ISBN 10: 0387966641 ISBN 13: 9780387966649
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Published by Cambridge University Press, New York, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Cambridge University Press CUP, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Cambridge University Press, 2005
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Published by Cambridge University Press, 2005
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Published by Cambridge University Press, Cambridge, 2006
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Paperback. Condition: 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 multiple locations in the US or from the UK, depending on stock availability.
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Published by Cambridge University Press 2005-12-19, 2005
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Add to basketPaperback. Condition: Brand New. reprint edition. 344 pages. 9.25x6.10x0.80 inches. In Stock.
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Add to basketPaperback. Condition: Brand New. 2nd edition. 308 pages. 9.25x6.50x0.75 inches. In Stock.
Published by Cambridge University Press, Cambridge, 2006
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Add to basketPaperback. Condition: 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.
Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Springer-Verlag GmbH & Co. KG
ISBN 10: 3540966641 ISBN 13: 9783540966647
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Add to basketCondition: Gut. Zustand: Gut | Seiten: 337 | Sprache: Englisch | Produktart: Bücher.
Published by Cambridge University Press, 2005
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Published by Cambridge University Press, Cambridge, 2006
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Add to basketPaperback. Condition: 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.
Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Add to basketTaschenbuch. Condition: 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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Add to basketPaperback. Condition: Brand New. 2nd edition. 308 pages. 9.25x6.50x0.75 inches. In Stock. This item is printed on demand.
Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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Add to basketPaperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 488.