Genus-two trisections are standard

DOI10.2140/gt.2017.21.1583zbMath1378.57031arXiv1410.8133OpenAlexW3101583672MaRDI QIDQ2356951

Jeffrey Meier, Alexander Zupan

Publication date: 7 June 2017

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

Full work available at URL: https://arxiv.org/abs/1410.8133

zbMATH Keywords

wavesHeegaard splittingstrisections

Mathematics Subject Classification ID

Surgery and handlebodies (57R65)

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Cites Work

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• Trisecting 4-manifolds
• Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures
• The topology of four-dimensional manifolds
• On tunnel number one links with surgeries yielding the 3-sphere
• Topology and combinatorics of 3-manifolds
• Dehn fillings on a two torus boundary components 3-manifold
• Classification of trisections and the Generalized Property R Conjecture
• Foliations and surgery on knots
• The Geometry of the Hyperelliptic Involution in Genus Two
• Heegaard Diagrams of 3-Manifolds
• ON NON-SIMPLE REFLEXIVE LINKS
• Links with surgery yielding the 3-sphere
• A note on 4-dimensional handlebodies