The combinatorics of colored triangulations of manifolds |
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Authors: | Javier Bracho Luis Montejano |
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Affiliation: | (1) Instituto de Matemáticas — U.N.A.M., Area de la Investigación Científica, Circuito Exterior — Col. Universitaria, 04510 México, D.F., Mexico |
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Abstract: | Foundations for the topic of crystallizations are proposed through the more general concept of colored triangulations. Classic results and techniques of crystallizations are reviewed from this point of view. A new set of combinatorial invariants of manifolds is defined, and related to the fundamental group and other known invariants. A universal group theoretic approach for this theory is introduced. |
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