
4-Manifolds
Selman Akbulut(Author)
Oxford University Press
Published on 25. August 2016
Book
Hardback
276 pages
978-0-19-878486-9 (ISBN)
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.
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.
Reviews / Votes
This book is about the art of proving theorems about 4-manifolds by mental visualization and direct interaction with their depictions. Its existence is justifed by the need for an updated treatment...and the need to set out a unifed presentation of the tools and knowledge which have proved most useful over the relatively unique research history of its author. * Jonathan D. Williams, MathSciNet *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Illustrations
100
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 22 mm
Weight
783 gr
ISBN-13
978-0-19-878486-9 (9780198784869)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions


Person
Selman Akbulut is a Turkish mathematician and a Professor at Michigan State University. His research is in topology and he has specifically worked on handlebody theory, low-dimensional manifolds, symplectic topology and G2 manifolds with success in developing 4-dimensional handlebody techniques, settling conjectures and solving problems.
Content
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
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