Gluing theorems for anti-self-dual metrics

Details Gluing theorems for anti-self-dual metrics Gluing theorems for anti-self-dual metrics

1998-02-11

arxiv.org/abs/math/9802055v1

Mathematics

Differential Geometry

12 pages, 1 Postscript figure

Scientific paper

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.

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