Course on Surgery Theory: (AMS-211)

Surgery theory is a branch of geometric topology that studies the classifications of manifolds. This book provides an advanced treatment of surgery theory, covering basic ideas, main theorems, active applications, and recent literature. It is of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory.

Format: Paperback / softback
Length: 472 pages
Publication date: 26 January 2021
Publisher: Princeton University Press

Surgery theory, a subfield of geometric topology, delves into the study of manifold classifications. This comprehensive text, A Course on Surgery Theory, provides a modern perspective on this mathematical discipline and its various applications. Written by Stanley Chang and Shmuel Weinberger, the book explores the remarkable advancements in surgery theory over the past three decades, offering insights from both algebraic and geometric viewpoints. It also offers an extensive treatment of fundamental concepts, main theorems, active applications, and recent literature. The authors meticulously cover all aspects of surgery theory, seamlessly integrating it with other relevant areas of mathematics such as geometry, homotopy theory, analysis, and algebra. The later chapters are self-contained, allowing readers to delve into specific topics based on their interests. This book is of immense value to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, serving as a crucial resource for the mathematics community.

Surgery theory, a subfield of geometric topology, delves into the study of manifold classifications. This comprehensive text, A Course on Surgery Theory, provides a modern perspective on this mathematical discipline and its various applications. Written by Stanley Chang and Shmuel Weinberger, the book explores the remarkable advancements in surgery theory over the past three decades, offering insights from both algebraic and geometric viewpoints. It also offers an extensive treatment of fundamental concepts, main theorems, active applications, and recent literature. The authors meticulously cover all aspects of surgery theory, seamlessly integrating it with other relevant areas of mathematics such as geometry, homotopy theory, analysis, and algebra. The later chapters are self-contained, allowing readers to delve into specific topics based on their interests. This book is of immense value to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, serving as a crucial resource for the mathematics community.

Weight: 666g
Dimension: 155 x 235 x 26 (mm)
ISBN-13: 9780691160498