Symplectic fillings of lens spaces as Lefschetz fibrations

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2016-01-01

Author

Bhupal, Mohan Lal

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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

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Department of Mathematics, Article

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Citation Formats

M. L. Bhupal, “Symplectic fillings of lens spaces as Lefschetz fibrations,” JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, pp. 1515–1535, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38993.