Torus-covering links and their triple linking numbers (Intelligence of Low-dimensional Topology)

Inasa Nakamura · Institutional Repositories DataBase (IRDB) · 2011

This report is a survey of [14].A torus-covering link is an oriented surface link in the form of a covering over the standard torus.Triple linking number is an invariant defined for an oriented surface link with at least three components, analogous to the linking number of classical links.A torus-covering $T^{2}$ -link is determined from two commutative classical braids, which we call basis braids.We present the triple linking numbers of a torus-covering $T^{2}$ -link by using the linking numbers of the closures of its basis braids, in the case when the basis braids are pure braids.

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