Surface links with free abelian link groups
Geometric Topology
2014-02-20 v2
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 -component 2-link group () is not free abelian. In this paper, we give examples of -links each of whose link groups is a free abelian group of rank three or four. Concerning the -links of rank three, we determine the triple point numbers and we see that their link types are infinitely many.
Cite
@article{arxiv.0911.4235,
title = {Surface links with free abelian link groups},
author = {Inasa Nakamura},
journal= {arXiv preprint arXiv:0911.4235},
year = {2014}
}
Comments
10 pages, 6 figures, minor modifications, to appear in J. Math. Soc. Japan