On long knots in the full torus

DOI10.1142/S0218216522500018zbMath1487.57008arXiv2104.13820OpenAlexW4223906611MaRDI QIDQ5072600

Sera Kim, Seongjeong Kim, Vassily O. Manturov

Publication date: 29 April 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13820

zbMATH Keywords

braidsBrunnian braidspicturefree-groupfull torusknots on cylinderpicture-valued invariant

Mathematics Subject Classification ID

Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items

Group-valued invariant of knots in the full torus

Cites Work

• Minimal generating sets of Reidemeister moves
• Virtual knot theory
• A simplification in Vassiliev's spectral sequence
• Virtual Knots
• Parity in knot theory
• More 1-cocycles for classical knots
• A free-group valued invariant of free knots
• Unnamed Item