A derivation of Witten's conjecture relating Donaldson and Seiberg-Witten invariants
Abstract
Description
We generalize Witten's conjectured formula relating Donaldson and Seiberg-Witten invariants to manifolds of non-simple type, via equivariant localization techniques. This approach does not use the theory of non-abelian monopoles, but works directly on the Donaldson-Witten and Seiberg-Witten moduli spaces. We give a formal derivation of Witten's conjecture and its generalization, making use of an infinite dimensional version of the abelian localization theorem.
32 pages, no figures; added references, corrected typos, minor changes
32 pages, no figures; added references, corrected typos, minor changes