4-Manifolds - Selman Akbulut - Oxford University Press
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4-Manifolds
Overview
Selman Akbulut
£45.00
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Oxford Graduate Texts in Mathematics
Description
100 colour images to clearly demonstrate the ideas
discussed.
Table of Contents
Covers many of the exciting developments of the
subject.
Self-contained account of the subject.
Author Information
Contains substantial original material.
Hardback
Published: 25 August 2016
288 Pages | 100
234x156mm
ISBN: 9780198784869
Also Available As:
Ebook
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.
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Table of 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
Author Information
Selman Akbulut, Professor, Michigan State University
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, lowdimensional manifolds, symplectic topology and G2 manifolds with success in developing 4dimensional handlebody techniques, settling conjectures and solving problems.
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4-Manifolds - Selman Akbulut - Oxford University Press
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4-Manifolds - Selman Akbulut - Oxford University Press
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