Unchaining surgery and topology of symplectic 4-manifolds

DOI10.1007/s00209-023-03204-xOpenAlexW2922508975MaRDI QIDQ2686994

Naoyuki Monden, Kenta Hayano, Refik İnanç Baykur

Publication date: 1 March 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02906

zbMATH Keywords

Lefschetz pencilchain relationmonodromy substitutionsymplectic Calabi-Yau surface

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Monodromy on manifolds (58K10) Symplectic structures in 4 dimensions (57K43)

Related Items (1)

Unchaining surgery, branched covers, and pencils on elliptic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds
• Inequivalent Lefschetz fibrations and surgery equivalence of symplectic 4-manifolds
• Convex plumbings and Lefschetz fibrations
• Minimality of symplectic fiber sums along spheres
• Luttinger surgery and Kodaira dimension
• Small Lefschetz fibrations and exotic 4-manifolds
• The necessary condition on the fiber-sum decomposability of genus-2 Lefschetz fibrations
• Lantern substitution and new symplectic 4-manifolds with \(b_2^{+} = 3\)
• Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds
• Almost complex 4-manifolds with vanishing first Chern class
• Kodaira dimension and symplectic sums
• Surfaces fibrées en courbes de genre deux
• On the handlebody decomposition associated to a Lefschetz fibration
• Homotopy \(K3\) surfaces and \(\text{mod }2\) Seiberg-Witten invariants
• Rational blowdowns of smooth 4-manifolds
• Rational surfaces and symplectic \(4\)-manifolds with one basic class
• Lefschetz fibrations on compact Stein surfaces
• Lefschetz pencils on symplectic manifolds.
• Topology of holomorphic Lefschetz pencils on the four-torus
• Simply connected symplectic 4-manifolds with \(b_2^+ = 1\) and \(c_1^2 = 2\)
• Harmonic spinors
• Monopoles and four-manifolds
• The Seiberg-Witten invariants and symplectic forms
• A new construction of symplectic manifolds
• Canonical classes and the geography of nonminimal Lefschetz fibrations over \(S^2\)
• The existence of an indecomposable minimal genus two Lefschetz fibration
• Symplectic surgeries along certain singularities and new Lefschetz fibrations
• Lefschetz fibrations on knot surgery 4-manifolds via Stallings twist
• Symplectic 4-manifolds with Kodaira dimension zero
• Kodaira dimension of fiber sums along spheres
• Surgery along star-shaped plumbings and exotic smooth structures on 4-manifolds
• Indecomposability of certain Lefschetz fibrations
• Minimality and fiber sum decompositions of Lefschetz fibrations
• SPIN STRUCTURES ON LEFSCHETZ FIBRATIONS
• Minimality and symplectic sums
• Some problems in differential geometry and topology
• Lantern relations and rational blowdowns
• Spin Structures and Quadratic forms on Surfaces
• Smoothly embedded spheres in symplectic 4-manifolds
• Seiberg-Witten invariants of generalised rational blow-downs
• Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations
• Inequivalent Lefschetz fibrations on rational and ruled surfaces
• Monodromy substitutions and rational blowdowns
• On the topology of symplectic Calabi-Yau 4-manifolds
• Compact Stein surfaces with boundary as branched covers of \(B^4\)

This page was built for publication: Unchaining surgery and topology of symplectic 4-manifolds