Screen LibraryA 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 triu...
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| Main Authors: | |
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| Group Author: | |
| Published: |
Princeton University Press,
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| Publisher Address: | Princeton, New Jersey : |
| Publication Dates: | 2021. |
| Literature type: | Book |
| Language: | English |
| Series: |
Annals of mathematics studies,
number 211 |
| Subjects: | |
| 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." - |
| Carrier Form: | xii, 430 pages : illustrations ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages [387]-422) and index. |
| ISBN: |
9780691160481 0691160481 9780691160498 069116049X |
| Index Number: | QA613 |
| CLC: | O189.3 |
| Call Number: | O189.3/C456 |
| 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. |