2000/03/23 by Adrian Vajiac, Vajiac, Adrian
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Graph theory and applications #High Energy Physics - Theory (hep-th) #hep-th #math.DG
paper · pdf · doi:10.48550/arxiv.hep-th/0003214
32 pages, no figures; added references, corrected typos, minor changes
openalex publication_date 2000/03/23 · arxiv created 2000/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.