Clasper presentations of Habegger-Lin's action on string links

Yuka Kotorii; Atsuhiko Mizusawa

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arXiv · 2212.14502

Clasper presentations of Habegger-Lin's action on string links

Yuka Kotorii·Atsuhiko Mizusawa

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Abstract

Habegger and Lin gave a classification of the link-hmotopy classes of links as the link-homotopy classes of string links modulo the actions of conjugations and partial conjugations for string links. In this paper, we calculated the actions of the partial conjugations and the conjugations explicitly for 4- and 5-component string links which gave classifications (presentations) of the link-homotopy classes of 4- and 5-component links. As an application, we can run Habegger and Lin's algorithm which determines whether given two links are link-homotopoic or not for 4- and 5-component links.

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BibTeX RIS

Yuka Kotorii, Atsuhiko Mizusawa. 2022-12-30. Clasper presentations of Habegger-Lin's action on string links. https://arxiv.org/abs/2212.14502

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