English

A characterization of alternating link exteriors in terms of cubed complexes

Geometric Topology 2018-04-11 v1

Abstract

We give a characterization of alternating link exteriors in terms of cubed complexes. To this end, we introduce the concept of a "signed BW cubed-complex", and give a characterization for a signed BW cubed-complex to have the underlying space which is homeomorphic to an alternating link exterior.

Keywords

Cite

@article{arxiv.1804.03473,
  title  = {A characterization of alternating link exteriors in terms of cubed complexes},
  author = {Shunsuke Sakai},
  journal= {arXiv preprint arXiv:1804.03473},
  year   = {2018}
}

Comments

7 pages, 5 figures