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-coloured graphs.In particular, it is possible to obtain a crystallization of aclosed 4-manifold $M^4$ starting from a Heegaard diagram$(\#_m(S^1 X S^2), \omega),$ and the algorithmicity of the whole process depends on the effective possibility of recognizing $(\#_m(S^1 X S^2), \omega)$ to be a Heegaard diagram by crystallization theory.

Dotted links, Heegaard diagrams and coloured graphs for PL 4-manifolds / Casali, Maria Rita. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - STAMPA. - 17 (2):(2004), pp. 435-457.

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

CASALI, Maria Rita
2004

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-coloured graphs.In particular, it is possible to obtain a crystallization of aclosed 4-manifold $M^4$ starting from a Heegaard diagram$(\#_m(S^1 X S^2), \omega),$ and the algorithmicity of the whole process depends on the effective possibility of recognizing $(\#_m(S^1 X S^2), \omega)$ to be a Heegaard diagram by crystallization theory.
2004
17 (2)
435
457
Dotted links, Heegaard diagrams and coloured graphs for PL 4-manifolds / Casali, Maria Rita. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - STAMPA. - 17 (2):(2004), pp. 435-457.
Casali, Maria Rita
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/450746
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