A Course on Surgery Theory

Stanley Chang, Shmuel Weinberger

$300

Hardback

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English

Princeton University Press
06 April 2021

Geometry; Algebraic geometry; Algebraic topology; Mathematical physics

Series: Annals of Mathematics Studies

An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide 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, A Course on Surgery Theory serves as an important resource for the mathematics community.

By: Stanley Chang, Shmuel Weinberger
Imprint: Princeton University Press
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9780691160481
ISBN 10: 0691160481
Series: Annals of Mathematics Studies
Pages: 472
Publication Date: 06 April 2021
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Stanley Chang is the Mildred Lane Kemper Professor of Mathematics at Wellesley College. Shmuel Weinberger is the Andrew MacLeish Distinguished Service Professor of Mathematics at the University of Chicago. Weinberger is the author of The Topological Classification of Stratified Spaces and Computers, Rigidity, and Moduli.

Reviews for A Course on Surgery Theory

"""A valuable source of knowledge (for graduate students and researchers) on surgery theory and its applications.""---Krzysztof M. Pawałowski, ZbMATH Open"