Monopoles and fourmanifolds
Abstract
Recent developments in the understanding of N=2 supersymmetric YangMills theory in four dimensions suggest a new point of view about Donaldson theory of four manifolds: instead of defining fourmanifold invariants by counting SU(2) instantons, one can define equivalent fourmanifold invariants by counting solutions of a nonlinear equation with an abelian gauge group. This is a "dual" equation in which the gauge group is the dual of the maximal torus of SU(2). The new viewpoint suggests many new results about the Donaldson invariants.
 Publication:

Mathematical Research Letters
 Pub Date:
 1994
 DOI:
 10.4310/MRL.1994.v1.n6.a13
 arXiv:
 arXiv:hepth/9411102
 Bibcode:
 1994MRLet...1..769W
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry;
 Mathematics  Differential Geometry
 EPrint:
 29 pp, harvmac