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The present paper is devoted to establish a connection between the 4-manifold representation method by dotted framed links (or -in the closed case- by Heegaard diagrams) and the so called crystallization theory, which visualizes general PL-manifolds by means of edge-colored graphs.In particular, it is possible to obtain a crystallization of a closed 4-manifold M4 starting from a Heegaard diagram (#m(S1 x S2),ω) and the algorithmicity of the whole process depends on the effective possibility of recognizing...

Eine Kongruenz für Gitter und ihre Anwendung auf 2k-Mannigfaltigkeiten in 4k-Mannigfaltigkeiten.

Thomas Fiedler (1984)

Manuscripta mathematica

Einstein metrics and smooth structures.

Kotschick, D. (1998)

Geometry & Topology

Equivalence classes of Fields of 2-planes and two kinds of almost complex structures on compact four-dimensional manifolds.

Yasuo Matsushita (1995)

Manuscripta mathematica

Equivariant Floer groups for binary polyhedral spaces.

David M. Austin (1995)

Mathematische Annalen

Existence of foliations on 4-manifolds.

Scorpan, Alexandru (2003)

Algebraic & Geometric Topology

Exotic structures on 4-manifolds detected by spectral invariants.

Stephan Stolz (1988)

Inventiones mathematicae

Exponential separation in 4-manifolds.

Krushkal, Vyacheslav S. (2000)

Geometry & Topology

Fields of 2-Planes on Compact Simply-Connected Smooth 4-Manifolds.

Yasuo Matsushita (1988)

Mathematische Annalen

Formes bilinéaires symétriques entières à discriminant ± 1

Jean-Pierre Serre (1961/1962)

Séminaire Henri Cartan

Generalized symplectic rational blowdowns.

Symington, Margarete (2001)

Algebraic & Geometric Topology

Grafting Seiberg-Witten monopoles.

Jabuka, Stanislav (2003)

Algebraic & Geometric Topology

Group Actions on the Chern Manifold.

Dariusz M. Wilcznski (1988)

Mathematische Annalen

Harmonic morphisms and circle actions on 3- and 4-manifolds

Paul Baird (1990)

Annales de l'institut Fourier

Harmonic morphisms are considered as a natural generalization of the analytic functions of Riemann surface theory. It is shown that any closed analytic 3-manifold supporting a non-constant harmonic morphism into a Riemann surface must be a Seifert fibre space. Harmonic morphisms $ϕ : M \to N$ from a closed 4-manifold to a 3-manifold are studied. These determine a locally smooth circle action on $M$ with possible fixed points. This restricts the topology of $M$ . In all cases, a harmonic morphism $ϕ : M \to N$ from a closed...

h-cobordisms between 1-connected 4-manifolds.

Kreck, Matthias (2001)

Geometry & Topology

Higher order intersection numbers of 2-spheres in 4-manifolds.

Schneiderman, Rob, Teichner, Peter (2001)

Algebraic & Geometric Topology

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