4-Manifolds (Oxford Graduate Texts in Mathematics)

Akbulut, Selman

Oxford University Press（2016/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 276 p.
• 言語 ENG
• 商品コード 9780198784869
• DDC分類 514.34

Full Description

This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs.

The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations. Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.

Contents

1: 4-manifold handlebodies
2: Building low dimensional manifolds
3: Gluing 4 manifolds along their boundaries
4: Bundles
5: 3-manifolds
6: Operations
7: Lefschetz Fibrations
8: Symplectic Manifolds
9: Exotic 4-manifolds
10: Cork decomposition
11: Covering spaces
12: Complex surfaces
13: Seiberg-Witten invariants
14: Some applications