Geodesic
Symplectic fillings of lens spaces as Lefschetz fibrations
Journal of the European Mathematical Society, Tome 18 (2016) no. 7, pp. 1515-1535 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/621
Classification : 57-XX, 32-XX, 53-XX
Keywords: Symplectic fillings, lens spaces, canonical contact structure, Lefschetz fibrations 
@article{JEMS_2016_18_7_a3,
     author = {Mohan Bhupal and Burak Ozbagci},
     title = {Symplectic fillings of lens spaces as {Lefschetz} fibrations},
     journal = {Journal of the European Mathematical Society},
     pages = {1515--1535},
     year = {2016},
     volume = {18},
     number = {7},
     doi = {10.4171/jems/621},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/621/}
}
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Mohan Bhupal; Burak Ozbagci. Symplectic fillings of lens spaces as Lefschetz fibrations. Journal of the European Mathematical Society, Tome 18 (2016) no. 7, pp. 1515-1535. doi: 10.4171/jems/621

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