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Quantum Mechanics - Princeton Scholarship Online
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Quantum Mechanics

Stanley Chang

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, homoto ... More

Keywords: surgery theory, geometric topology, manifolds, manifold classification, geometry, homotopy theory, algebra, noncommutative geometry, algebraic K-theory

Bibliographic Information

Print publication date: 2019 Print ISBN-13: 9780691160498
Published to Princeton Scholarship Online: May 2021 DOI:10.23943/princeton/9780691160498.001.0001

Authors

Affiliations are at time of print publication.

Stanley Chang, author
ONERA