Rational blow-downs and smoothings of surface singularities

Abstract

In this paper we give a necessary combinatorial condition for a negative--definite plumbing tree to be suitable for rational blow--down, or to be the graph of a complex surface singularity which admits a rational homology disk smoothing. New examples of surface singularities with rational homology disk smoothings are also presented; these include singularities with resolution graph having valency four nodes.

61 pages, 28 figures

References in corpus (1)

• Symplectic surgeries and normal surface singularities

Cited by in corpus (2)

• Symplectic rational blow-down along Seifert fibered 3-manifolds
• On rational blow-downs in Heegaard-Floer homology