Geodesic
Simply connected minimal symplectic 4-manifolds with signature less than $−1$
Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 133-161 Cet article a éte moissonné depuis la source EMS Press

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For each pair (e,σ) of integers satisfying 2e+3σ≥0, σ≤−2, and e+σ≡0 (mod 4), with four exceptions, we construct a minimal, simply connected symplectic 4-manifold with Euler characteristic e and signature σ. We also produce simply connected, minimal symplectic 4-manifolds with signature zero (resp. signature −1) with Euler characteristic 4k (resp. 4k+1) for all k≥46 (resp. k≥49).
DOI : 10.4171/jems/192
Classification : 57-XX, 00-XX
Keywords: Symplectic topology, Luttinger surgery, fundamental group, 4-manifold 
@article{JEMS_2010_12_1_a5,
     author = {Anar Akhmedov and Scott Baldridge and R. \.Inan\c{c} Baykur and Paul Kirk and B. Doug Park},
     title = {Simply connected minimal symplectic 4-manifolds with signature less than $\ensuremath{-}1$},
     journal = {Journal of the European Mathematical Society},
     pages = {133--161},
     year = {2010},
     volume = {12},
     number = {1},
     doi = {10.4171/jems/192},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/192/}
}
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%A R. İnanç Baykur
%A Paul Kirk
%A B. Doug Park
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%F JEMS_2010_12_1_a5
Anar Akhmedov; Scott Baldridge; R. İnanç Baykur; Paul Kirk; B. Doug Park. Simply connected minimal symplectic 4-manifolds with signature less than $−1$. Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 133-161. doi: 10.4171/jems/192

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