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arXiv · 2104.13820

On long knots in the full torus

Sera Kim·Seongjeong Kim·Vassily Olegovich Manturov
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Abstract

The aim of this paper is to realise the techniques of picture-valued invariants and invariants valued in free groups for long knots in the full torus. Such knots and links are of a particular interest because of their relation to Legendrian knots, knotoids, 3-manifolds and many other objects. Invariants constructed in the paper are powerful and easy to compare. This paper is a sequel of [6]. Long knots naturally appear in the study of classical knots [1, 8].

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BibTeXRIS

Sera Kim, Seongjeong Kim, Vassily Olegovich Manturov. 2021-04-28. On long knots in the full torus. https://arxiv.org/abs/2104.13820

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