A multiple group rack and oriented spatial surfaces

DOI10.1142/S0218216520500467zbMath1447.57008arXiv1912.03069MaRDI QIDQ5119260

Shosaku Matsuzaki, Tomo Murao, Atsushi Ishii

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/1912.03069

zbMATH Keywords

Seifert surfacemultiple group rackoriented spatial surfacerack coloring

Mathematics Subject Classification ID

Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)

Related Items (3)

Fundamental heaps for surface ribbons and cocycle invariants ⋮ A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere ⋮ Braided Frobenius algebras from certain Hopf algebras

Cites Work

• A \(G\)-family of quandles and handlebody-knots
• A multiple conjugation quandle and handlebody-knots
• Moves and invariants for knotted handlebodies
• A classifying invariant of knots, the knot quandle
• Complements of minimal spanning surfaces of knots are not unique
• A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
• The Markov theorems for spatial graphs and handlebody-knots with Y-orientations
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• RACKS AND LINKS IN CODIMENSION TWO

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