Milnor invariants of covering links

Natsuka Kobayashi, Kodai Wada, Akira Yasuhara

研究成果: Article査読

抄録

We consider Milnor invariants for certain covering links as a generalization of covering linkage invariants formulated by R. Hartley and K. Murasugi. A set of Milnor invariants of covering links is a cobordism invariant of a link, and this invariant can detect some links undetected by the ordinary Milnor invariants. Moreover, for a Brunnian link L, the first non-vanishing Milnor invariant of L is modulo-2 congruent to a sum of Milnor invariants of covering links. As a consequence, a sum of linking numbers of ‘iterated’ covering links gives the first non-vanishing Milnor invariant of L modulo 2.

本文言語English
ページ(範囲)60-72
ページ数13
ジャーナルTopology and its Applications
224
DOI
出版ステータスPublished - 2017 6 15

ASJC Scopus subject areas

  • Geometry and Topology

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