Full paper in PDF:
$% M. R. Casali, Dotted links, Heegaard diagrams, and colored graphs for PL
4-manifolds, Rev. Mat. Complut. 17 (2004), 435–457.
Dotted Links, Heegaard Diagrams, and Colored Graphs for PL 4-Manifolds%$
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
starting from a Heegaard diagram
, and the algorithmicity
of the whole process depends on the effective possibility of recognizing
to be a Heegaard diagram by crystallization theory.
Key words: PL-manifold, handle-decomposition, dotted framed link, crystallization.
2000 Mathematics Subject Classification: Primary 57N13-57M15; Secondary
57M25-57Q15.