Branched Coverings, Triangulations, and 3-Manifolds

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A canonical branched covering over each sufficiently good simplicial complex is constructed. Its structure depends on the combinatorial type of the complex. In this way, each closed orientable 3-manifold arises as a branched covering over the 3-sphere from some triangulation of S^3. This result is related to a theorem of Hilden and Montesinos. The branched coverings introduced admit a rich theory in which the group of projectivities plays a central role.
v2: several changes to the text body; minor corrections

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Geometric Topology, Combinatorics, 57M12 (57M25; 57Q99; 05C15; 05C10)

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http://salesiana.dossiersoluciones.com/handle/123456789/62104

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108202
 http://arxiv.org/abs/math/0108202

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arXiv