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Automorphisms of 3-manifolds and representations of 4-manifolds
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César de Sá , Eugénia (1977) Automorphisms of 3-manifolds and representations of 4-manifolds. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1748642~S15
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) | ||||
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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: |
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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Publication Status: | Unpublished | ||||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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