Topological triviality of smoothly knotted surfaces in $4$-manifolds

DOI10.1090/S0002-9947-08-04482-6zbMath1204.57035arXivmath/0610204MaRDI QIDQ3532547

Daniel Ruberman, Hee Jung Kim

Publication date: 28 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610204

zbMATH Keywords

surgery theoryknotted surfaceRim surgery

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57)

Related Items (10)

Null-homologous exotic surfaces in 4-manifolds ⋮ Embedded surfaces with infinite cyclic knot group ⋮ Anyons in geometric models of matter ⋮ Knotted surfaces in $4$-manifolds by knot surgery and stabilization ⋮ Knotted surfaces in 4-manifolds and stabilizations ⋮ Smooth surfaces with non-simply-connected complements ⋮ Transverse invariants and exotic surfaces in the \(4\)-ball ⋮ Exotic group actions on simply connected smooth 4-manifolds ⋮ Knotted surfaces in 4-manifolds ⋮ Stable isotopy in four dimensions

Uses Software

• GAP

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