Monopoles and four-manifolds
Abstract
Recent developments in the understanding of N=2 supersymmetric Yang-Mills theory in four dimensions suggest a new point of view about Donaldson theory of four manifolds: instead of defining four-manifold invariants by counting SU(2) instantons, one can define equivalent four-manifold invariants by counting solutions of a non-linear 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:hep-th/9411102
- Bibcode:
- 1994MRLet...1..769W
- Keywords:
-
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Differential Geometry
- E-Print:
- 29 pp, harvmac