Symplectic surgeries from singularities
We describe a variety of symplectic surgeries (not a priori compatible with Kaehler structures) which are obtained by combining local Kaehler degenerations and resolutions of singularities. The effect of the surgeries is to replace configurations of Lagrangian spheres with symplectic submanifolds. We discuss several examples in detail, relating them to existence questions for symplectic manifolds with c1 > 0, c1 = 0, c1 < 0 in four and six dimensions.
Anahtar Kelimeler:
Turk. J. Math., 27, (2003), 231-250. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.
Symplectic surgeries from singularities
We describe a variety of symplectic surgeries (not a priori compatible with Kaehler structures) which are obtained by combining local Kaehler degenerations and resolutions of singularities. The effect of the surgeries is to replace configurations of Lagrangian spheres with symplectic submanifolds. We discuss several examples in detail, relating them to existence questions for symplectic manifolds with c1 > 0, c1 = 0, c1 < 0 in four and six dimensions.
Keywords:
Turk. J. Math., 27, (2003), 231-250. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
A monopole homology for integral homology 3-spheres
U (1)-invariant special Lagrangian 3-folds in $Bbb{C}^3$ and special Lagrangian fibrations
Polyhedral approximations of Riemannian manifolds
Duality and Fibrations on G2 Manifolds
Symplectic surgeries from singularities
Adjunction inequality and coverings of Stein surfaces
Duality and fibrations on $G_2$ manifolds
Sergei GUKOV, Shing-Tung YAU, Eric ZASLOW
Affine Manifolds, Log Structures, and Mirror Symmetry
On cofinite subgroups of mapping class groups
Comparing open book and Heegaard decompositions of 3-manifolds