Branched Coverings, Triangulations, and 3-Manifolds
Geometric Topology
2007-05-23 v2 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.math/0108202,
title = {Branched Coverings, Triangulations, and 3-Manifolds},
author = {Ivan Izmestiev and Michael Joswig},
journal= {arXiv preprint arXiv:math/0108202},
year = {2007}
}
Comments
v2: several changes to the text body; minor corrections