Yang-Mills Fields and Extension Theory

Download or read book Yang-Mills Fields and Extension Theory written by Robert Pool and published by American Mathematical Soc.. This book was released on 1987 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this memoir, Yang-Mills field curvature and current are described as elements of cohomology groups on ambitwistor space, and it is shown that the Yang-Mills current corresponds to the third-order obstruction to extending the corresponding vector bundle. There is also a description of the Yang-Mills field's action density. In addition, several groups of solutions to various differential equations on Miskowski space are characterized as elements of various cohomology classes over ambitwistor space.