0-efficient triangulations of Haken 3-manifolds
AffiliationMathematics and Statistics
MetadataShow full item record
Document TypePhD thesis
Access StatusOpen Access
© 2015 Dr. Don Buweneka Shanil Ramanayake
The thesis constructs 0–efficient triangulations for compact, irreducible, an-annular, orientable, atoroidal, Haken 3–manifolds that are closed or have torus boundary. The triangulations are dual to a hierarchy of the manifold, which is characterised as a special spine. By crushing the dual triangulations we obtain 1–vertex and ideal triangulations. An algorithmic technique is used to prove 0–efficiency. Efficient triangulations exhibit geometric properties of the underlying manifold. We hope the thesis will help elucidate the relationship between geometric structures and triangulations.
Keywordsefficient triangulations; 3-manifold triangulations; 3-manifold topology; Haken 3-manifolds
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