Longtime behavior of 3 dimensional Ricci flow  C: 3manifold topology and combinatorics of simplicial complexes in 3manifolds
Abstract
In the third part of this series of papers, we establish several topological results that will become important for studying the longtime behavior of Ricci flows with surgery. In the first part of this paper we recall some elementary observations in the topology of 3manifolds. The main part is devoted to the construction of certain simplicial complexes in a given 3manifold that exhibit useful intersection properties with embedded, incompressible solid tori. This paper is purely topological in nature and Ricci flows will not be used.
 Publication:

arXiv eprints
 Pub Date:
 November 2014
 arXiv:
 arXiv:1411.6647
 Bibcode:
 2014arXiv1411.6647B
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Geometric Topology
 EPrint:
 47 pages, revised version