Invariants of weakly successively almost positive links

Tetsuya Ito; Alexander Stoimenow

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arXiv · 2208.10728

Invariants of weakly successively almost positive links

Tetsuya Ito·Alexander Stoimenow

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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).

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Tetsuya Ito, Alexander Stoimenow. 2022-08-23. Invariants of weakly successively almost positive links. https://arxiv.org/abs/2208.10728

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