The generalized Lefschetz number of homeomorphisms on punctured disks

Abstract

We compute the generalized Lefschetz number of orientation-preserving selfhomeomorphisms 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… (More)

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Cite this paper

@inproceedings{Matsuoka2009TheGL, title={The generalized Lefschetz number of homeomorphisms on punctured disks}, author={Takashi Matsuoka}, year={2009} }