Minimal Triangulations of Reducible 3-Manifolds
Geometric Topology
2009-09-29 v1
Abstract
In this thesis, we use normal surface theory to understand certain properties of minimal triangulations of compact orientable 3-manifolds. We describe the collapsing process of normal 2-spheres and disks. Using some geometrical constructions to take connected sums of triangulated 3-manifolds, we obtain the following result: given a minimal triangulation of a closed orientable 3-manifold M, it takes polynomial time in the number of tetrahedra to check if M is reducible or not.
Keywords
Cite
@article{arxiv.math/0307302,
title = {Minimal Triangulations of Reducible 3-Manifolds},
author = {Alexander Barchechat},
journal= {arXiv preprint arXiv:math/0307302},
year = {2009}
}
Comments
Ph.D. Dissertation, 136 pages