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

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  • Engels
  • Paperback
  • 9783319890616
  • 06 juni 2019
  • 397 pagina's
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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.



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.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
06 juni 2019
Aantal pagina's
397
Illustraties
Nee

Betrokkenen

Hoofdauteur
Michael Crabb
Tweede Auteur
Andrew Ranicki
Hoofduitgeverij
Springer

Overige kenmerken

Editie
Softcover reprint of the original 1st ed. 2017
Extra groot lettertype
Nee
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Nee
Verpakking breedte
156 mm
Verpakking hoogte
235 mm
Verpakking lengte
230 mm
Verpakkingsgewicht
282 g

EAN

EAN
9783319890616

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