A course on surgery theory
"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 r…
Read More ↓Title Statements
- Full title :A course on surgery theory / Stanley Chang, Shmuel Weinberger.
Summary
"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." -
Read More ↓Edition Statements
- Publication Date:©2021
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton, New Jersey
- Language:eng
- Publication Date:©2021
The Physical Object
- Description:xii, 430 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:9780691160481, 0691160481, 9780691160498, 069116049X
- oclc:on1237535285
- LC Classification:QA613.658
- Dewey Decimal:514.72
Table of Contents
The characterization of homotopy types -- Some calculations of L-groups -- Classical surgery theory -- Topological surgery and surgery spaces -- Applications of the assembly map -- Beyond characteristic classes -- Flat and almost flat manifolds -- Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
The classifying spaces for surgery and cobordism of manifolds
Madsen, I. H., (Ib Henning)
Index theory, coarse geometry, and topology of manifolds
The classifying spaces for surgery and cobordism of manifolds
Madsen, I. H., (Ib Henning)
The classifying spaces for surgery and cobordism of manifolds
Madsen, I. H., (Ib Henning)
Index theory, coarse geometry, and topology of manifolds: Lecture notes from the conference held …
Roe, John
Higher-dimensional generalized manifolds: surgery and constructions
Cavicchioli, Alberto
Local surgery and the exact sequence of a localization for Wall groups
Pardon, William
Local surgery and the exact sequence of a localization for Wall groups
Pardon, William
Rate & Review