Surface links with free abelian link groups

Details Surface links with free abelian link groups Surface links with free abelian link groups

2009-11-22

arxiv.org/abs/0911.4235v1

Mathematics

Geometric Topology

17 pages, 8 figures

Scientific paper

It is known that if a classical link group is a free abelian group, then its rank is at most two, and a $\mu$-component 2-link group for $\mu>1$ is not a free abelian group. In this paper we give examples of surface links whose link groups are free abelian groups of rank three or four. Moreover we show that the examples of rank three are infinitely many and one of them has the triple point number four.

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