The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics) - Hardcover

Buch 150 von 187: Springer Monographs in Mathematics

Crabb, Michael; Ranicki, Andrew

 
9783319713052: The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3319713051 ISBN 13: 9783319713052
Verlag: Springer, 2018

Inhaltsangabe

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists.

Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, withmany results old and new. 

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Von der hinteren Coverseite

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists.

Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with manyresults old and new.

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Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
3319713051
ISBN 13 
9783319713052
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
413
Kontakt zum Hersteller
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Darmstadt
64293
Deutschland

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9783319890616: The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3319890611 ISBN 13:  9783319890616
Verlag: Springer, 2019
Softcover