Nonexistence of rational homology disk weak fillings of certain singularity links

2016-05-01

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Nonexistence of rational homology disk weak fillings of certain singularity links
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We show that the Milnor fillable contact structures on the links of singularities having resolution graphs from some specific families that have members with arbitrarily large numbers of nodes do not admit weak symplectic fillings having the rational homology of the 4-disk. This result provides further evidence toward the conjecture that no such weak symplectic filling exists once the mininal resolution tree has at least two nodes.
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Citation Formats
M. L. Bhupal, Nonexistence of rational homology disk weak fillings of certain singularity links. 2016.