The generalized Lefschetz number of homeomorphisms on punctured disks
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概要
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We compute the generalized Lefschetz number of orientation-preserving self-homeomorphisms of a compact punctured disk, using the fact that homotopy classes of these homeomorphisms can be identified with braids. This result is applied to study Nielsen-Thurston canonical homeomorphisms on a punctured disk. We determine, for a certain class of braids, the rotation number of the corresponding canonical homeomorphisms on the outer boundary circle. As a consequence of this result on the rotation number, it is shown that the canonical homeomorphisms corresponding to some braids are pseudo-Anosov with associated foliations having no interior singularities.
- 社団法人 日本数学会の論文
- 2009-10-01
著者
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Matsuoka Takashi
Department Of Mathematics Naruto University Of Education
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Matsuoka Takashi
Department Of Anatomy Showa University School Of Medicine
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