Crystallizations and other manifold representations.
Luigi Grasselli (1987)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Luigi Grasselli (1987)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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M. R. Casali (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.
Glock, Janina (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Grasselli, Luigi (1996)
Mathematica Pannonica
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Richard Duke (1967)
Fundamenta Mathematicae
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Cochet, Charles (2005)
Experimental Mathematics
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M. Mulazzani (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Maria Rita Casali (2004)
Revista Matemática Complutense
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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...
Datta, Basudeb, Nilakantan, Nandini (2008)
International Journal of Mathematics and Mathematical Sciences
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Paola Cristofori (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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