Yang-Mills theory and uniformization
β Scribed by Carlos T. Simpson
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 306 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
β¦ Synopsis
We define a notion of a stable system of Hodge bundles. A stable system of Hodge bundles has a Hermitian-Yang-Mills metric and, if certain Chern classes vanish, this gives a complex variation of Hodge structure. We use these ideas to obtain a criterion for a variety to be uniformized by a bounded symmetric domain.
π SIMILAR VOLUMES
We develop a new Yang-Mills theory for connections D in a vector bundle E with bundle metric h, over a Riemannian manifold by dropping the customary assumption Dh = 0. We apply this theory to Einstein-Weyl geometry (cf. M.F. Atiyah, et al., Self-duality in four-dimensional Riemannian geometry, Proc.
## Abstract In recent years, higher loop integrability has been the object of much attention. An important part of that discourse is to check that the Yangian symmetry survives at higher loops. We offer a brief update of the progress in this area.