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Title: Four dimensional hyperbolic link complements via Kirby calculus
Author: Saratchandran, Hemanth
ISNI:       0000 0004 5346 2049
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2015
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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 S4 and a smooth standard S2 x S2. 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.
Supervisor: Lackenby, Marc Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Geometry ; hyperbolic geometry