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ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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ISBN 10: 0521613051 ISBN 13: 9780521613057
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ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Cambridge University Press, 2005
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ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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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.
Published by Cambridge University Press 2005-12-19, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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ISBN 10: 0521613051 ISBN 13: 9780521613057
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Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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ISBN 10: 0521613051 ISBN 13: 9780521613057
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Taschenbuch. Condition: Neu. Global Analysis on Foliated Spaces | Calvin C. Moore (u. a.) | Taschenbuch | vii | Englisch | 2011 | Springer | EAN 9781461395942 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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Published by Cambridge University Press, Cambridge, 2006
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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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 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
Language: English
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Taschenbuch. 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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ISBN 10: 3540966641 ISBN 13: 9783540966647
Language: English
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Published by Cambridge University Press, 2005
ISBN 10: 0521613051 ISBN 13: 9780521613057
Language: English
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