Indefinite Morse 2-functions: broken fibrations and generalizations

DOI10.2140/gt.2015.19.2465zbMath1328.57019arXiv1102.0750OpenAlexW3101834569MaRDI QIDQ888882

David T. Gay, Robion Kirby

Publication date: 3 November 2015

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

Full work available at URL: https://arxiv.org/abs/1102.0750

zbMATH Keywords

Morse functionCerf theoryelliptic umbilicbroken fibrationdefinite fold

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) General geometric structures on low-dimensional manifolds (57M50)

Related Items

Simplifying indefinite fibrations on 4-manifolds ⋮ Elimination of cusps in dimension 4 and its applications ⋮ Poisson cohomology of broken Lefschetz fibrations ⋮ Bifiltrations and persistence paths for 2-Morse functions ⋮ Morse structures on open books ⋮ Unnamed Item ⋮ ELIMINATION OF DEFINITE FOLD. II ⋮ Modification rule of monodromies in an \(R_{2}\)-move ⋮ Floer Field Philosophy ⋮ Existence of two-parameter crossings, with applications

Cites Work

• Unnamed Item
• Lagrangian matching invariants for fibred four-manifolds. II.
• The \(h\)-principle for broken Lefschetz fibrations
• Wrinkled fibrations on near-symplectic manifolds
• Stability of unfoldings in space and time
• Round handles and non-singular Morse-Smale flows
• A calculus for framed links in \(S^3\)
• Yamabe constants and the perturbed Seiberg-Witten equations
• Transversality theorems for harmonic forms
• The Gromov invariant and the Donaldson-Smith standard surface count
• Singular Lefschetz pencils
• Lagrangian matching invariants for fibred four-manifolds. I.
• Constructing Lefschetz-type fibrations on four-manifolds
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• ELIMINATION OF DEFINITE FOLD
• Existence of Broken Lefschetz Fibrations
• Local properties of self-dual harmonic 2-forms on a 4-manifold
• Cohomotopy sets of 4-manifolds
• The principal fibration sequence and the second cohomotopy set
• Fiber-connected, indefinite Morse 2-functions on connected n -manifolds
• Round handles, logarithmic transforms and smooth 4-manifolds
• Every 4-Manifold is BLF