Trisections of surface complements and the Price twist

DOI10.2140/agt.2020.20.343zbMath1440.57020arXiv1805.00429OpenAlexW3101147742MaRDI QIDQ1985996

Maggie Miller, Seung Won Kim

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1805.00429

zbMATH Keywords

surgeryknotted surfacetrisectionPrice twist

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Surgery and handlebodies (57R65) General topology of 4-manifolds (57K40)

Related Items (6)

Simplifying indefinite fibrations on 4-manifolds ⋮ Trisection diagrams and twists of 4-manifolds ⋮ Homology of relative trisection and its applications ⋮ Multisections of 4-manifolds ⋮ The relative \(\mathcal{L} \)-invariant of a compact 4-manifold ⋮ Doubly pointed trisection diagrams and surgery on 2-knots

Cites Work

• Trisecting 4-manifolds
• Constructing a fake 4-manifold by Gluck construction to a standard 4- manifold
• A characterization of groups of closed orientable surfaces in 4-space
• Gluck surgery along a \(2\)-sphere in a \(4\)-manifold is realized by surgery along a projective plane
• Diagrams for relative trisections
• Group trisections and smooth 4-manifolds
• Trisections of 4-manifolds via Lefschetz fibrations
• Classification of trisections and the Generalized Property R Conjecture
• Trisections of 4-manifolds with boundary
• Bridge trisections of knotted surfaces in 4-manifolds
• Bridge trisections of knotted surfaces in 𝑆⁴
• A note on 4-dimensional handlebodies
• Corks, Plugs and exotic structures

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