Milnor invariants of covering links

Natsuka Kobayashi, Kodai Wada, Akira Yasuhara

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)60-72
Number of pages13
JournalTopology and its Applications
Volume224
DOIs
Publication statusPublished - 2017 Jun 15

Keywords

  • Clasper
  • Cobordism
  • Covering linkage invariant
  • Link-homotopy
  • Milnor invariant

ASJC Scopus subject areas

  • Geometry and Topology

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