Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants.
Banagl, Markus, Friedman, Greg (2004)
Algebraic & Geometric Topology
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Banagl, Markus, Friedman, Greg (2004)
Algebraic & Geometric Topology
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Cannon, J.W., Floyd, W.J., Parry, W.R. (2003)
Algebraic & Geometric Topology
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Heinz-Jürgen Voss (1997)
Mathematica Slovaca
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Marietti, Mario, Testa, Damiano (2008)
The Electronic Journal of Combinatorics [electronic only]
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Mohamed Aït-Nouh, Daniel Matignon, Kimihiko Motegi (2006)
Annales mathématiques Blaise Pascal
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Let be a knot in the -sphere , and a disk in meeting transversely in the interior. For non-triviality we assume that over all isotopies of in . Let () be a knot obtained from by twistings along the disk . If the original knot is unknotted in , we call a . We describe for which pair and an integer , the twisted knot is a torus knot, a satellite knot or a hyperbolic knot.
Burgiel, H., Reiner, V. (1998)
The New York Journal of Mathematics [electronic only]
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Jones, Gareth A., Pinto, Daniel (2010)
The Electronic Journal of Combinatorics [electronic only]
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Bacher, R., Krattenthaler, C. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Adam Idzik, Konstanty Junosza-Szaniawski (2006)
Discussiones Mathematicae Graph Theory
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We formulate general boundary conditions for a labelling of vertices of a triangulation of a polyhedron by vectors to assure the existence of a balanced simplex. The condition is not for each vertex separately, but for a set of vertices of each boundary simplex. This allows us to formulate a theorem, which is more general than the Sperner lemma and theorems of Shapley; Idzik and Junosza-Szaniawski; van der Laan, Talman and Yang. A generalization of the Poincaré-Miranda theorem is also...
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.