A derivation of Witten's conjecture relating Donaldson and Seiberg-Witten invariants

Details A derivation of Witten's conjecture relating Donaldson and Seiberg-Witten invariants A derivation of Witten's conjecture relating Donaldson and Seiberg-Witten invariants

2000-03-23

arxiv.org/abs/hep-th/0003214v2

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, no figures; added references, corrected typos, minor changes

Scientific paper

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.

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