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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Luigi Grasselli (1990)
Revista Matemática de la Universidad Complutense de Madrid
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We describe a combinatorial algorithm for constructing all orientable 3-manifolds with a given standard bidimensional spine by making use of the idea of bijoin (Bandieri and Gagliardi (1982), Graselli (1985)) over a suitable pseudosimplicial triangulation of the spine.
Cochet, Charles (2005)
Experimental Mathematics
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Glock, Janina (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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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.
Carmen Safont (1990)
Revista Matemática de la Universidad Complutense de Madrid
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Coverings of S branched over iterated torus links appear naturally and very often in Algebraic Geometry. The natural graph-manifold structure of the exterior of an iterated torus link induces a graph-structure in the branched covers. In this paper we give an algorithm to compute valued graphs representing a branched cover given the monodromy representation associated to the covering. The algorithm is completely mechanized in order to be programmed, and can also be used for finding representation...
Tan Jiang, Stephen S.-T. Yau (1994)
Compositio Mathematica
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Paola Cristofori (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Vladimir Turaev (1993)
Publications Mathématiques de l'IHÉS
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