The algebraic characterization of geometric 4-manifolds

著者

• Hillman, Jonathan A. (Jonathan Arthur)

書誌事項

The algebraic characterization of geometric 4-manifolds

J.A. Hillman

（London Mathematical Society lecture note series, 198）

Cambridge University Press, 1994

注記

Includes bibliographical references (p. 160-168) and index

内容説明・目次

内容説明

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.

目次

• Preface
• 1. Algebraic preliminaries
• 2. General results on the homotopy type of 4-manifolds
• 3. Mapping tori and circle bundles
• 4. Surface bundles
• 5. Simple homotopy type, s-cobordism and homeomorphism
• 6. Aspherical geometries
• 7. Manifolds covered by S2 x R2
• 8. Manifolds covered by S3 x R
• 9. Geometries with compact models
• 10. Applications to 2-knots and complex surfaces
• Appendix
• Problems
• References
• Index.

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詳細情報

• NII書誌ID(NCID): BA21777348
• ISBN:
  • 0521467780
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: ix, 170 p.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 415.7
• 親書誌ID:
  • BA0005393X