Dotted links, Heegaard diagrams, and colored graphs for PL 4-manifolds.

Casali, Maria Rita. "Dotted links, Heegaard diagrams, and colored graphs for PL 4-manifolds.." Revista Matemática Complutense 17.2 (2004): 435-457. <http://eudml.org/doc/44516>.

@article{Casali2004,
abstract = {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 (#m(S1 x S2),ω) to be a Heegaard diagram by crystallization theory.},
author = {Casali, Maria Rita},
journal = {Revista Matemática Complutense},
keywords = {Variedades topológicas; Teoría de grafos; PL-manifold; handle-decomposition; dotted framed link; crystallization},
language = {eng},
number = {2},
pages = {435-457},
title = {Dotted links, Heegaard diagrams, and colored graphs for PL 4-manifolds.},
url = {http://eudml.org/doc/44516},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Casali, Maria Rita
TI - Dotted links, Heegaard diagrams, and colored graphs for PL 4-manifolds.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 2
SP - 435
EP - 457
AB - 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 (#m(S1 x S2),ω) to be a Heegaard diagram by crystallization theory.
LA - eng
KW - Variedades topológicas; Teoría de grafos; PL-manifold; handle-decomposition; dotted framed link; crystallization
UR - http://eudml.org/doc/44516
ER -