JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, vol.18, no.7, pp.1515-1535, 2016 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Science Citation Index Expanded, Scopus
Symplectic fillings, lens spaces, canonical contact structure, Lefschetz fibrations, RATIONAL BLOWDOWNS, OPEN BOOKS, SINGULARITIES, SURFACE
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.