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, Michele Mulazzani (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Maria Rita Casali (1992)
Revista Matemática de la Universidad Complutense de Madrid
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In this work, we prove that every closed, orientable 3-manifold M which is a two-fold covering of S branched over a link, has type six.
Vladimir Turaev (1993)
Publications Mathématiques de l'IHÉS
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Kawamura, Tomomi (2004)
Algebraic & Geometric Topology
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Grasselli, Luigi (1996)
Mathematica Pannonica
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Glock, Janina (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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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...
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.
Sohn, Moo Young, Lee, Jaeun (1994)
International Journal of Mathematics and Mathematical Sciences
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José María Montesinos-Amilibia (2003)
Revista Matemática Complutense
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In this paper, a representation of closed 3-manifolds as branched coverings of the 3-sphere, proved in [13], and showing a relationship between open 3-manifolds and wild knots and arcs will be illustrated by examples. It will be shown that there exist a 3-fold simple covering p : S --> S branched over the remarkable simple closed curve of Fox [4] (a wild knot). Moves are defined such that when applied to a branching set, the corresponding covering manifold remains unchanged, while...