arXiv:math/0108202 Abstract

arXiv:math/0108202 [math.GT]Abstract References Reviews Resources

Branched Coverings, Triangulations, and 3-Manifolds

Published 2001-08-29, updated 2002-03-20Version 2

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.

Comments: v2: several changes to the text body; minor corrections

Categories: math.GT, math.CO

Subjects: 57M12, 57M25, 57Q99, 05C15, 05C10

Keywords: branched covering, triangulation, structure depends, central role, simplicial complex

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