Showing distinctness of surface links by taking 2-dimensional braids
Geometric Topology
2015-10-19 v2
Abstract
For an oriented surface link , we can take a satellite construction called a 2-dimensional braid over , which is a surface link in the form of a covering over . We demonstrate that 2-dimensional braids over surface links are useful for showing the distinctness of surface links. We investigate non-trivial examples of surface links with free abelian group of rank two, concluding that their link types are infinitely many.
Keywords
Cite
@article{arxiv.1403.3165,
title = {Showing distinctness of surface links by taking 2-dimensional braids},
author = {Inasa Nakamura},
journal= {arXiv preprint arXiv:1403.3165},
year = {2015}
}
Comments
14 pages, 5 figures, Title changed, Corollary 6.2 changed to Remark 2.4, Proof of Theorem 1.1 rewritten, to appear in Pacific J. Math