WEIGHTED HOMOGENEOUS SINGULARITIES AND RATIONAL HOMOLOGY DISK SMOOTHINGS


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BHUPAL M. L. , Stipsicz A. I.

AMERICAN JOURNAL OF MATHEMATICS, vol.133, no.5, pp.1259-1297, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 133 Issue: 5
  • Publication Date: 2011
  • Doi Number: 10.1353/ajm.2011.0036
  • Journal Name: AMERICAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1259-1297
  • Middle East Technical University Affiliated: Yes

Abstract

We classify the resolution graphs of weighted homogeneous surface singularities which admit rational homology disk smoothings. The nonexistence of rational homology disk smoothings is shown by symplectic geometric methods, while the existence is verified via smoothings of negative weight.