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The Algebraic Characterization of Geometric 4-Manifolds.
・ISBN 978-0-521-46778-0 paper GB£ 62.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-52635-0
| 著者・編者 | Hillman, J. A., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1994 |
| ページ数 | 184 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8786＞ |
解説
This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology.