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Title: Automorphisms of 3-manifolds and representations of 4-manifolds
Author: César de Sá, Eugénia
ISNI:       0000 0001 3525 7242
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1977
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In the first part of this thesis se prove that any (orientation- preserving) homeomorphism of a (orientable) connected sum of 3-manifolds can be written as a product g°f where f preserves factors and g is a composition of loop homeomorphisms and permutations of factors .The method yields results about the higher homotopy groups of the space of automorphisms of a general 3-manifold. In the second part we give a calculus of links to classify 4-manifolds similar to Kirby’s calculus for 3-manifolds. Using link pictures with certain identified links and corresponding allowable moves. We also consider a stable classification of 4-manifolds using such link pictures.
Supervisor: Not available Sponsor: Instituto Nacional de Investigação Científica (Portugal)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics