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Surgery Theory: Foundations (Grundlehren der mathematischen Wissenschaften, 362) by Wolfgang Lück, Tibor Macko, Diarmuid Crowley is a nonfiction available to read on EtoBox.

What is Surgery Theory: Foundations (Grundlehren der mathematischen Wissenschaften, 362) about?

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 read

Who reads Surgery Theory: Foundations (Grundlehren der mathematischen Wissenschaften, 362)?

Author

Wolfgang Lück, Tibor Macko, Diarmuid Crowley

Publisher

Springer International Publishing AG

Published

2024

Language

EN

ISBN

9783031563331

Category

nonfiction

Subjects

Mathematics, Stem