A Course on Surgery Theory: (AMS-211) (Annals of Mathematics Studies, 211) - Softcover

Chang, Stanley

Softcover

ISBN 10: 069116049X ISBN 13: 9780691160498

Publisher: Princeton University Press, 2021

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: Princeton University Press
• Publication date: 2021
• Language: English
• ISBN 10: 069116049X
• ISBN 13: 9780691160498
• Binding: Paperback
• Number of pages: 470