ENGLISH

Metrics, Connections and Gluing Theorems (Cbms Regional Conference Series in Mathematics)

By Clifford Henry Taubes

Book information

Publisher
American Mathematical Society
Year
1996
ISBN
0821803239, 9780821803233
LCC
QA1 .R33 no. 89,QA613.2 .R33 no. 89
Open Library ID
OL22585438M
Language
english
Format
DJVU
Filesize
928 kB (950766 bytes)
Series
Cbms Regional Conference Series in Mathematics volume 89
Pages
94\94
DPI
300
Orientation
no
Scanned
yes
Time added
2014-10-05 02:30:00

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.

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