Surgery Theory

Surgery Theory

AngličtinaPevná väzba
Lück, Wolfgang
Springer, Berlin
EAN: 9783031563331
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Podrobné informácie

This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds.

Surgery theory was developed to carry out the so-called Surgery Program, a basic strategy to decide whether two closed manifolds are homeomorphic or diffeomorphic. This book provides a detailed explanation of all the ingredients necessary for carrying out the surgery program, as well as an in-depth discussion of the obstructions that arise. The components include the surgery step, the surgery obstruction groups, surgery obstructions, and the surgery exact sequence. This machinery is applied to homotopy spheres, the classification of certain fake spaces, and topological rigidity. The book also offers a detailed description of Ranicki's chain complex version, complete with a proof of its equivalence to the classical approach developed by Browder, Novikov, Sullivan, and Wall.

This book has been written for learning surgery theory and includes numerous exercises. With full proofs and detailed explanations, it also provides an invaluable reference for working mathematicians. Each chapter has been designed to be largely self-contained and includes a guide to help readers navigate the material, making the book highly suitable for lecture courses, seminars, and reading courses.

EAN 9783031563331
ISBN 3031563336
Typ produktu Pevná väzba
Vydavateľ Springer, Berlin
Dátum vydania 6. júla 2024
Stránky 956
Jazyk English
Rozmery 235 x 155
Krajina Switzerland
Autori Luck, Wolfgang; Macko, Tibor
Edícia 2024 ed.
Séria Grundlehren der mathematischen Wissenschaften