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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/16618
Title: Homotopy Self-Equivalences of Four-Manifolds
Authors: Pamuk, Mehmetcik
Advisor: Hambleton, Ian
Department: Mathematics
Keywords: homotopy, self-equivalences, four-manifold, Hambleton, Kreck,
Publication Date: May-2008
Abstract: In this thesis, we study the group of base-point preserving homotopy classes of homotopy self-equivalences of a four-manifold. Based on the approach of Hambleton and Kreck, an explicit description of this group is obtained when the fundamental group of the manifold is either a free group or a two-dimensional Poincare duality group. As a byproduct, a classification of such four-manifolds up to s-cobordism is obtained by using the modified surgery theory of Kreck.
URI: http://hdl.handle.net/11375/16618
Appears in Collections:Open Access Dissertations and Theses

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