Bridge trisections of knotted surfaces in 𝑆⁴

DOI10.1090/tran/6934zbMath1376.57025arXiv1507.08370OpenAlexW2246963740MaRDI QIDQ5348740

Alexander Zupan, Jeffrey Meier

Publication date: 21 August 2017

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

Full work available at URL: https://arxiv.org/abs/1507.08370

zbMATH Keywords

stabilizationstable equivalencebridge splittingsbridge trisections

Mathematics Subject Classification ID

Related Items

Bridge trisections in rational surfaces ⋮ Simplifying indefinite fibrations on 4-manifolds ⋮ Trisection diagrams and twists of 4-manifolds ⋮ Trisections with Kirby-Thompson length 2 ⋮ The bridge number of surface links and kei colorings ⋮ Bounds for Kirby-Thompson invariants of knotted surfaces ⋮ Low-dimensional topology. Abstracts from the workshop held January 15--21, 2023 ⋮ Nonsmooth manifold decompositions ⋮ A family of Andrews-Curtis trivializations via 4-manifold trisections ⋮ Tri-plane diagrams for simple surfaces in S4 ⋮ Kirby–Thompson distance for trisections of knotted surfaces ⋮ Flattening knotted surfaces ⋮ Thin position through the lens of trisections of 4-manifolds ⋮ 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 ⋮ Unnamed Item ⋮ From Heegaard splittings to trisections; porting \(3\)-dimensional ideas to dimension \(4\) ⋮ The dihedral genus of a knot ⋮ Bridge trisections and classical knotted surface theory ⋮ Symplectic surfaces and bridge position ⋮ Getting a handle on the Conway knot ⋮ Doubly pointed trisection diagrams and surgery on 2-knots ⋮ Determining the Trisection Genus of Orientable and Non-Orientable PL 4-Manifolds through Triangulations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trisecting 4-manifolds
• Detecting the standard embedding of \({\mathbb{R}}P^ 2\) in \(S^ 4\)
• All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron
• The \(\pi\)-orbifold group of a link
• The homotopy groups of knots. I: How to compute the algebraic 2-type
• Proposals for unknotted surfaces in four-spaces
• An enumeration of surfaces in four-space
• Surfaces in 4-space
• Genus-two trisections are standard
• Proof of a conjecture of Whitney
• Über eine numerische Knoteninvariante
• Classification of trisections and the Generalized Property R Conjecture
• Meridional Generators and Plat Presentations of Torus Links
• Exotic knottings of surfaces in the 4-sphere
• The Geometry of the Hyperelliptic Involution in Genus Two
• THIN POSITION FOR TANGLES
• ON A CALCULUS FOR 2-KNOTS AND SURFACES IN 4-SPACE
• UNKNOTTING ORIENTABLE SURFACES IN THE 4-SPHERE
• Bridge and pants complexities of knots
• Twisting Spun Knots
• SPLITTING A 4-MANIFOLD WITH INFINITE CYCLIC FUNDAMENTAL GROUP, REVISED
• A note on 4-dimensional handlebodies