Knotted surfaces in 4-manifolds

DOI10.1515/form.2011.130zbMath1270.57065arXiv0801.4367OpenAlexW2964312746MaRDI QIDQ2836447

Thomas E. Mark

Publication date: 3 July 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4367

zbMATH Keywords

gauge theoryHeegaard Floer homologyknotted surfaces

Mathematics Subject Classification ID

Related Items (6)

Null-homologous exotic surfaces in 4-manifolds ⋮ Embedded surfaces with infinite cyclic knot group ⋮ Concordance surgery and the Ozsváth-Szabó 4-manifold invariant ⋮ Non-existence theorems on infinite order corks ⋮ Knotted surfaces in $4$-manifolds by knot surgery and stabilization ⋮ Product formulae for Ozsváth-Szabó 4-manifold invariants

Cites Work

• Sewn-up r-link exteriors
• Product formulae for Ozsváth-Szabó 4-manifold invariants
• Smooth surfaces with non-simply-connected complements
• Knots, links, and 4-manifolds
• Symplectic normal connect sum
• Surfaces in 4-manifolds
• Product formulas along \(T^3\) for Seiberg-Witten invariants
• Holomorphic disks and three-manifold invariants: properties and applications
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Holomorphic triangle invariants and the topology of symplectic four-manifolds
• Holomorphic disks and knot invariants
• A new construction of symplectic manifolds
• Knot Floer homology and integer surgeries
• Holomorphic triangles and invariants for smooth four-manifolds
• Topological triviality of smoothly knotted surfaces in $4$-manifolds

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