Existence of mASD connections on 4-manifolds with cylindrical ends

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.

arXiv comment64 pages; final version, "Communications in Analysis and Geometry" (to appear)