Overview

In this book, the author's goal is to provide an introduction to some of the analytic underpinnings for the geometry of anti-self duality in 4-dimensions. Anti-self duality is rather special to 4-dimensions and the imposition of this condition on curvatures of connections on vector bundles and on curvatures of Riemannian metrics has resulted in some spectacular mathematics. The book reviews some basic geometry, but is is assumed that the reader has a general background in differential geometry (as would be obtained by reading a standard text on the subject). Some of the fundamental references include Atiyah, Hitchin and Singer, Freed and Uhlenbeck, Donaldson and Kronheimer, and Kronheimer and Mrowka. The last chapter contains open problems and conjectures.

Full Product Details

Author:   Clifford Taubes
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 89
Dimensions:   Width: 18.40cm , Height: 0.70cm , Length: 25.40cm
Weight:   0.198kg
ISBN:  

9780821803233

ISBN 10:   0821803239
Pages:   90
Publication Date:   30 July 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction The anti-self dual equations Grafting theorems Deformations to anti-self duality I Deformations to anti-self duality II Metrics with $W_+\equiv 0$ Grafting metrics Deforming the metric Strategy for connect sums Open questions References.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions