Inasa Nakamura. Surface links with free abelian link groups

Natural Sciences / Mathematics / Geometry

Submitted on: Sep 19, 2012, 18:14:37

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.

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