Existence of mASD connections on 4-manifolds with cylindrical ends
Differential Geometry
2023-03-28 v3 Analysis of PDEs
Geometric Topology
Abstract
Taubes' gluing theorems establish the existence of ASD connections on closed, oriented 4-manifolds. We extend these gluing results to the mASD connections of Morgan-Mrowka-Ruberman on oriented 4-manifolds with cylindrical ends. As a corollary, we obtain an ASD-existence result in the presence of degenerate asymptotic flat connections.
Cite
@article{arxiv.2007.13822,
title = {Existence of mASD connections on 4-manifolds with cylindrical ends},
author = {David L. Duncan and Ian Hambleton},
journal= {arXiv preprint arXiv:2007.13822},
year = {2023}
}
Comments
64 pages; final version, "Communications in Analysis and Geometry" (to appear)