Publication Date:
2013-02-20
Description:
This paper considers the links between the geometry of the various flag manifolds of loop groups and bundles over families of rational curves. A topological stability result for the moduli on a rational ruled surface of G -bundles with additional flag structure along a line is proved for any reductive group; this gives the corresponding stability statement for any compact group K for the moduli of K -instantons over the four-sphere, and for the moduli of K -calorons over R 3 times the circle.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics