Surgery along star-shaped plumbings and exotic smooth structures on 4-manifolds

DOI10.2140/agt.2016.16.1585zbMath1350.57033arXiv1402.0801OpenAlexW1542258414MaRDI QIDQ2630676

Çağrı Karakurt, Laura Starkston

Publication date: 20 July 2016

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0801

zbMATH Keywords

Kodaira dimensionelliptic fibrationsymplectic fillingcomplex projective spacesrational blow-downminimal symplectic 4-manifoldLefshetz fibrationminimal exotic smooth structuresSeiber-Witten invariantstar surgery

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Differentiable structures in differential topology (57R55) Symplectic geometry, contact geometry (53D99)

Related Items (6)

Symplectic \(4\)-manifolds on the Noether line and between the Noether and half Noether lines ⋮ Unchaining surgery and topology of symplectic 4-manifolds ⋮ Small exotic 4-manifolds from lines and quadrics in \(\mathbb{C}\mathbb{P}^2\) ⋮ Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds ⋮ Using rational homology circles to construct rational homology balls ⋮ Symplectic surgeries along certain singularities and new Lefschetz fibrations

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