Nonexistence of rational homology disk weak fillings of certain singularity links

Date

2018-01-01

Author

Bhupal, Mohan Lal

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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.

URI

https://hdl.handle.net/11511/84441

Journal

Proceeding of the 22nd Gökova Geometry-Topology Conference

Collections

Department of Mathematics, Article

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Citation Formats

M. L. Bhupal, “Nonexistence of rational homology disk weak fillings of certain singularity links,” Proceeding of the 22nd Gökova Geometry-Topology Conference, pp. 202–217, 2018, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/84441.