English

Superconformal simple type and Witten's conjecture

Differential Geometry 2020-08-17 v4 Mathematical Physics Geometric Topology math.MP

Abstract

Let XX be a smooth, closed, connected, orientable four-manifold with b1(X)=0b^1(X)=0 and b+(X)3b^+(X)\geq 3 and odd. We show that if XX has Seiberg-Witten simple type, then the SO(3)-monopole cobordism formula of Feehan and Leness (2002) implies Witten's Conjecture relating the Donaldson and Seiberg-Witten invariants.

Keywords

Cite

@article{arxiv.1408.5085,
  title  = {Superconformal simple type and Witten's conjecture},
  author = {Paul M. N. Feehan and Thomas G. Leness},
  journal= {arXiv preprint arXiv:1408.5085},
  year   = {2020}
}

Comments

31 pages, incorporating final galley proof corrections. To appear in Advances in Mathematics

R2 v1 2026-06-22T05:35:51.264Z