Group trisections and smooth 4-manifolds

DOI10.2140/gt.2018.22.1537zbMath1404.57001arXiv1605.06731OpenAlexW3104255389WikidataQ130054081 ScholiaQ130054081MaRDI QIDQ1746309

Robion Kirby, Aaron Abrams, David T. Gay

Publication date: 25 April 2018

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

Full work available at URL: https://arxiv.org/abs/1605.06731

zbMATH Keywords

4-manifoldsfinitely presented groupsgroup theoryHeegaard splittingtrisectionMorse 2-functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05)

Related Items (5)

Simplifying indefinite fibrations on 4-manifolds ⋮ Low-dimensional topology. Abstracts from the workshop held January 15--21, 2023 ⋮ Gem-induced trisections of compact PL 4-manifolds ⋮ 4-manifold invariants from Hopf algebras ⋮ Trisections of surface complements and the Price twist

Cites Work

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• Trisecting 4-manifolds
• On Dehn's lemma and the asphericity of knots
• Genus-two trisections are standard
• Heegaard-Zerlegungen der 3-Sphäre
• Classification of trisections and the Generalized Property R Conjecture
• A note on 4-dimensional handlebodies
• The co-rank conjecture for 3-manifold groups

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