Trisection diagrams and twists of 4-manifolds

DOI10.5802/crmath.350zbMath1503.57020arXiv1906.01495OpenAlexW4288336437MaRDI QIDQ2673865

Patrick A. Naylor

Publication date: 21 September 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01495

zbMATH Keywords

Gluck twisttrisectionsPrice twist

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) General topology of 4-manifolds (57K40)

Cites Work

• Unnamed Item
• Trisecting 4-manifolds
• The topology of four-dimensional manifolds
• Gluck surgery along a \(2\)-sphere in a \(4\)-manifold is realized by surgery along a projective plane
• Diagrams for relative trisections
• Trisections of surface complements and the Price twist
• Isotopies of surfaces in 4-manifolds via banded unlink diagrams
• Bridge trisections in \(\mathbb{CP}^2\) and the Thom conjecture
• The relative \(\mathcal{L} \)-invariant of a compact 4-manifold
• Trisections, intersection forms and the Torelli group
• Proof of a conjecture of Whitney
• Classification of trisections and the Generalized Property R Conjecture
• Twisting 4-manifolds along RP^2
• Doubly pointed trisection diagrams and surgery on 2-knots
• Trisections of 4-manifolds with boundary
• Bridge trisections of knotted surfaces in 4-manifolds
• Bridge trisections of knotted surfaces in 𝑆⁴
• The embedding of two-spheres in the four-sphere
• A note on 4-dimensional handlebodies

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