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Symplectic fillings of lens spaces as Lefschetz fibrations
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Date
2016-01-01
Author
Bhupal, Mohan Lal
ÖZBAĞCI, BURAK
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We construct a positive allowable Lefschetz fibration over the disk on any minimal (weak) symplectic filling of the canonical contact structure on a lens space. Using this construction we prove that any minimal symplectic filling of the canonical contact structure on a lens space is obtained by a sequence of rational blowdowns from the minimal resolution of the corresponding complex two-dimensional cyclic quotient singularity.
Subject Keywords
Applied Mathematics
,
General Mathematics
URI
https://hdl.handle.net/11511/38993
Journal
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.4171/jems/621
Collections
Department of Mathematics, Article