Inasa Nakamura. Surface links with free abelian link groups
Submitted on: Sep 19, 2012, 18:14:37
Natural Sciences / Mathematics / Geometry
Description: 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.
The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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