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Rational blowdowns and smoothings of surface singularities
Author(s) -
Stipsicz András I.,
Szabó Zoltán,
Wahl Jonathan
Publication year - 2008
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtn009
Subject(s) - mathematics , gravitational singularity , graph , smoothing , singularity , homology (biology) , pure mathematics , combinatorics , geometry , mathematical analysis , biochemistry , statistics , chemistry , gene
In this paper, we give a necessary combinatorial condition for a negative‐definite plumbing tree to be suitable for rational blowdown, 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 4 nodes.