Long-time behavior of 3 dimensional Ricci flow -- C: 3-manifold topology and combinatorics of simplicial complexes in 3-manifolds
Abstract
In the third part of this series of papers, we establish several topological results that will become important for studying the long-time behavior of Ricci flows with surgery. In the first part of this paper we recall some elementary observations in the topology of 3-manifolds. The main part is devoted to the construction of certain simplicial complexes in a given 3-manifold 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:
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arXiv e-prints
- Pub Date:
- November 2014
- DOI:
- 10.48550/arXiv.1411.6647
- arXiv:
- arXiv:1411.6647
- Bibcode:
- 2014arXiv1411.6647B
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Geometric Topology
- E-Print:
- 47 pages, revised version