Milnor invariants of covering links
Geometric Topology
2016-03-21 v1
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 for covering links is a cobordism invariant of a link, and that this invariant can distinguish some links for which the ordinary Milnor invariants coincide. Moreover, for a Brunnian link , the first non-vanishing Milnor invariants of is modulo- 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 modulo .
Keywords
Cite
@article{arxiv.1603.05873,
title = {Milnor invariants of covering links},
author = {Natsuka Kobayashi and Kodai Wada and Akira Yasuhara},
journal= {arXiv preprint arXiv:1603.05873},
year = {2016}
}
Comments
11 pages, 10 figures