Quandle colorings vs. biquandle colorings
From MaRDI portal
Publication:6192969
DOI10.1016/j.topol.2024.108832arXiv1912.12917OpenAlexW4391147801WikidataQ129381345 ScholiaQ129381345MaRDI QIDQ6192969
Kokoro Tanaka, Katsumi Ishikawa
Publication date: 12 March 2024
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.12917
Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)
Cites Work
- Unnamed Item
- Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation
- On homotopy groups of quandle spaces and the quandle homotopy invariant of links
- The theory of motion groups
- A classifying invariant of knots, the knot quandle
- A multiple conjugation biquandle and handlebody-links
- Biquandles and virtual links
- Surfaces in 4-space
- Trunks and classifying spaces
- Quandle homotopy invariants of knotted surfaces
- The topological biquandle of a link
- Holonomy braidings, biquandles and quantum invariants of links with \(\mathsf{SL}_2(\mathbb{C})\) flat connections
- Cocycle knot invariants from quandle modules and generalized quandle homology
- Surface-Knots in 4-Space
- DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
- Immersions of Manifolds
- Canceling Branch Points on Projections of Surfaces in 4-Space
- RACKS AND LINKS IN CODIMENSION TWO
- Quandle cohomology and state-sum invariants of knotted curves and surfaces
- GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
- TACKLING THE TREFOILS
- Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
- Biquandle cohomology and state-sum invariants of links and surface-links
- On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation
- Knot quandles vs. knot biquandles
- A prismatic classifying space
- FUNDAMENTAL BIQUANDLES OF RIBBON 2-KNOTS AND RIBBON TORUS-KNOTS WITH ISOMORPHIC FUNDAMENTAL QUANDLES
- Non-unitary set-theoretical solutions to the quantum Yang-Baxter equation.
