César de Sá , Eugénia (1977) Automorphisms of 3-manifolds and representations of 4-manifolds. PhD thesis, University of Warwick.

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Abstract

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.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Four-manifolds (Topology), Three-manifolds (Topology), Manifolds (Mathematics), Automorphisms
Official Date:	October 1977
Dates:	Date Event October 1977 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Rourke, C. P. (Colin Patrick)
Sponsors:	Instituto Nacional de Investigação Científica (Portugal)
Extent:	116 leaves
Language:	eng

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