SMOOTHINGS OF SINGULARITIES AND SYMPLECTIC TOPOLOGY

BHUPAL M. L., Stipsicz A. I.

DEFORMATIONS OF SURFACE SINGULARITIES, vol.23, pp.57-97, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 23
  • Publication Date: 2013
  • Journal Name: DEFORMATIONS OF SURFACE SINGULARITIES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.57-97
  • Middle East Technical University Affiliated: Yes

Abstract

We review the symplectic methods which have been applied in the classification of weighted homogeneous singularities with rational homology disk (QHD) smoothings. We also review the construction of such smoothings and show that in many cases these smoothings are unique up to symplectic deformation. In addition, we describe a method for finding differential topological descriptions (more precisely, Kirby diagrams) of the smoothings and illustrate this method by working out a family of examples.