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A Course on Surgery Theory: (AMS-211)

Online ISBN:
9780691200354
Print ISBN:
9780691160498
Publisher:
Princeton University Press
Book

A Course on Surgery Theory: (AMS-211)

Stanley Chang,
Stanley Chang
Wellesley College
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Shmuel Weinberger
Shmuel Weinberger
University of Chicago
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Published online:
20 May 2021
Published in print:
26 January 2021
Online ISBN:
9780691200354
Print ISBN:
9780691160498
Publisher:
Princeton University Press

Abstract

Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. This book offers a modern look at this important mathematical discipline and some of its applications. The book explains some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. It also provides an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, the book serves as an important resource for the mathematics community.

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