Surface links with free abelian link groups

Inasa Nakamura

doi:10.2969/jmsj/06610247

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arXiv · 0911.4235

Surface links with free abelian link groups

Inasa Nakamura

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Abstract

It is known that if a classical link group is a free abelian group, then its rank is at most two. It is also known that a $k$-component 2-link group ($k>1$) is not free abelian. In this paper, we give examples of $T^2$-links each of whose link groups is a free abelian group of rank three or four. Concerning the $T^2$-links of rank three, we determine the triple point numbers and we see that their link types are infinitely many.

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BibTeX RIS

Inasa Nakamura. 2012-09-25. Surface links with free abelian link groups. https://doi.org/10.2969/jmsj%2F06610247

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