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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Pamuk Mehmetcik.pdf | 4.36 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.