Metrics, connections and gluing theorems
Author(s)
Bibliographic Information
Metrics, connections and gluing theorems
（Regional conference series in mathematics, no. 89）
American Mathematical Society, c1996
Available at 52 libraries
Note
Includes bibliographical references
"CBMS Conference on Analysic Gauge Theory held at New Mexco State University, January 5-9, 1994."--T.p. verso
Description and Table of Contents
Description
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 it 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.
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.
by "Nielsen BookData"