Visible surgery, four-dimensionals-cobordisms and related questions in geometric topology |
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| Authors: | Sawomir Kwasik and Reinhard Schultz |
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| Institution: | (1) Department of Mathematics, Tulane University, 70118 New Orleans, LA, USA;(2) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, USA |
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| Abstract: | The visible surgery theory of M. Weiss is used to complete the topological classification of four-dimensionals-cobordisms between three-dimensional spherical spaceforms. Applications to various questions concerning pseudo-isotopies of 3-manifolds, computations of the simple Wall groups of finite periodic groups, and inductive detection of self-homeomorphisms of manifolds are also discussed.The first named author was partially supported by a grant from the Louisiana Board of Regents and National Science Foundation Grants DMS 89-01583 and 91-01575, and the second named author was partially supported by National Science Foundation Grants DMS 86-02543, 89-02622 and 91-02711. |
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| Keywords: | Visible surgery theory s-cobordism pseudo-isotopy spherical spaceform surgery obstruction groups |
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