The SO(3) monopole cobordism and superconformal simple type
Differential Geometry
2020-08-17 v5 Mathematical Physics
General Topology
math.MP
Abstract
We show that the SO(3) monopole cobordism formula from Feehan and Leness (2002) implies that all smooth, closed, oriented four-manifolds with and and odd with Seiberg-Witten simple type satisfy the superconformal simple type condition defined by Marino, Moore, and Peradze (1999) This implies the lower bound, conjectured by Fintushel and Stern (2001) on the number of Seiberg-Witten basic classes in terms of topological data.
Keywords
Cite
@article{arxiv.1408.5307,
title = {The SO(3) monopole cobordism and superconformal simple type},
author = {Paul M. N. Feehan and Thomas G. Leness},
journal= {arXiv preprint arXiv:1408.5307},
year = {2020}
}
Comments
32 pages, incorporating final galley proof corrections. To appear in Advances in Mathematics