English

Invariants of weakly successively almost positive links

Geometric Topology 2022-08-24 v1

Abstract

As an extension of positive and almost positive diagrams and links, we study two classes of links we call successively almost positive and weakly successively almost positive links. We prove various properties of polynomial invariants and signatures of such links, extending previous results or answering open questions about positive or almost positive links. We discuss their minimal genus and fibering property and for the latter prove a fibering extension of Scharlemann-Thompson's theorem (valid for general links).

Keywords

Cite

@article{arxiv.2208.10728,
  title  = {Invariants of weakly successively almost positive links},
  author = {Tetsuya Ito and Alexander Stoimenow},
  journal= {arXiv preprint arXiv:2208.10728},
  year   = {2022}
}

Comments

75 pages, 19 Figures