%0 Journal Article
%T Topological field theories and formulae of Casson and Meng-Taubes
%A S. K. Donaldson
%J Mathematics
%D 1999
%I arXiv
%X The goal of this paper is to give a new proof of a theorem of Meng and Taubes that identifies the Seiberg-Witten invariants of 3-manifolds with Milnor torsion. The point of view here will be that of topological quantum field theory. In particular, we relate the Seiberg-Witten equations on a 3-manifold with the Abelian vortex equations on a Riemann surface. These techniques also give a new proof of the surgery formula for the Casson invariant, interpreted as an invariant of a homology S^2 x S^1.
%U http://arxiv.org/abs/math/9911248v1