New exotic 4-manifolds via Luttinger surgery on Lefschetz fibrations

DOI10.1142/S0129167X1550010XzbMath1320.57034arXiv1212.1967MaRDI QIDQ5245881

Anar Akhmedov, Kadriye Nur Saglam

Publication date: 15 April 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1967

zbMATH Keywords

4-manifoldssymplectic 4-manifoldsLefschetz fibrationsymplectic sumexotic smooth structuresLuttinger surgery

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Differentiable structures in differential topology (57R55) Fundamental group, presentations, free differential calculus (57M05)

Related Items (2)

On the geography of simply connected nonspin symplectic 4-manifolds with nonnegative signature ⋮ Genus-3 Lefschetz fibrations and exotic 4-manifolds with \(b_2^+=3\)

Cites Work

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• Reverse engineering small 4-manifolds
• On the signature of a Lefschetz fibration coming from an involution
• Constructing infinitely many smooth structures on small 4-manifolds
• Smoothly embedded spheres in symplectic 4-manifolds

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