Gluing theorems for anti-self-dual metrics
Differential Geometry
2007-05-23 v1
Abstract
In this paper we announce a gluing theorem for conformal structures with anti-self-dual (ASD) Weyl tensor that applies in geometrical situations that are more general than those considered by previous authors. By adapting a method proposed by Floer, sufficient conditions are given for the existence of ASD conformal structures on `generalized connected sums' of non-compact ASD 4-manifolds with cylindrical ends. The gluing theorem applies in particular to give results about connected sums of ASD orbifolds along (isolated) singular points.
Cite
@article{arxiv.math/9802055,
title = {Gluing theorems for anti-self-dual metrics},
author = {A. G. Kovalev and M. A. Singer},
journal= {arXiv preprint arXiv:math/9802055},
year = {2007}
}
Comments
12 pages, 1 Postscript figure