A TOPOLOGICAL APPROACH TO THE NIELSEN'S REALIZATION PROBLEM FOR HAKEN 3-MANIFOLDS
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概要
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Let ＄M＄ be a Haken manifold with a toral or empty boundary which is not a closed Seifert manifold. Zimmermann [31] showed that any mapping class ＄c＄ of ＄M＄ of finite order ＄n＄ can be realized by an auto-homeomorphism of period ＄n＄ using algebraic methods. In a special case, Heil and Tollefson [4], and Hong and McCullough [9] used methods from 3-manifold topology to approach the Zimmermann's theorem. This paper provides a complete proof by another topological approach.
- Yokohama City University and Yokohama National Universityの論文
- 2001-00-00
Yokohama City University and Yokohama National University | 論文
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