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arXiv · 1110.3887

The Milnor $\barμ$ invariants and nanophrases

Yuka Kotorii
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Abstract

Two link diagrams are link homotopic if one can be transformed into the other by a sequence of Reidemeister moves and self crossing changes. Milnor introduced invariants under link homotopy called $\barμ$. Nanophrases, introduced by Turaev, generalize links. In this paper, we extend the notion of link homotopy to nanophrases. We also generalize $\barμ$ to the set of those nanophrases that correspond to virtual links.

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Yuka Kotorii. 2013-04-12. The Milnor $\barμ$ invariants and nanophrases. https://arxiv.org/abs/1110.3887

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