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Four dimensional hyperbolic link complements via Kirby calculus

The primary aim of this thesis is to construct explicit examples of four dimensional hyperbolic link complements. Using the theory of Kirby diagrams and Kirby calculus we set up a general framework that one can use to attack such a problem. We use this framework to construct explicit examples in a smooth standard S<sup>4</sup> and a smooth standard S<sup>2</sup> x S<sup>2</sup>. We then characterise which homeomorphism types of smooth simply connected closed 4-manifolds can admit a hyperbolic link complement, along the way giving constructions of explicit examples.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:647681
Date January 2015
CreatorsSaratchandran, Hemanth
ContributorsLackenby, Marc
PublisherUniversity of Oxford
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://ora.ox.ac.uk/objects/uuid:ba72ee75-c22f-4800-a38c-76e5cf411ad9

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