Splitting homomorphisms and the Geometrization Conjecture
Geometric Topology
2009-10-31 v2 Group Theory
Abstract
This paper gives an algebraic conjecture which is shown to be equivalent to Thurston's Geometrization Conjecture for closed, orientable 3-manifolds. It generalizes the Stallings-Jaco theorem which established a similar result for the Poincare Conjecture. The paper also gives two other algebraic conjectures; one is equivalent to the finite fundamental group case of the Geometrization Conjecture, and the other is equivalent to the union of the Geometrization Conjecture and Thurston's Virtual Bundle Conjecture.
Cite
@article{arxiv.math/9906124,
title = {Splitting homomorphisms and the Geometrization Conjecture},
author = {Robert Myers},
journal= {arXiv preprint arXiv:math/9906124},
year = {2009}
}
Comments
11 pages, Some typos are corrected