Generalised knotoids

DOI10.1017/S0305004124000148MaRDI QIDQ6644155

Dora Woodruff, Colin Adams, Alexandra Bonat, Benjamin Shapiro, Maxwell Jiang, Joye Chen, Maya Chande, Zachary Romrell, Daniel Santiago

Publication date: 27 November 2024

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Knot polynomials (57K14) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Hyperbolic 3-manifolds (57K32)

Cites Work

• Knotoids
• Almost alternating links
• Knots, tangles, and electrical networks
• Volumes of hyperbolic manifolds with geodesic boundary
• Turaev hyperbolicity of classical and virtual knots
• New polynomial invariants of knotoids and the theory of polar knots
• Invariants of long knots
• New invariants of knotoids
• Generalized augmented alternating links and hyperbolic volumes
• Parity and projection from virtual knots to classical knots
• A LINKING NUMBER DEFINITION OF THE AFFINE INDEX POLYNOMIAL AND APPLICATIONS
• The minimal volume orientable hyperbolic 2-cusped 3-manifolds
• The Classification of Links up to Link-Homotopy
• Cobordism of knots on surfaces
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• A family of polynomial invariants for knotoids
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• Parity, virtual closure and minimality of knotoids
• Signed heights of knotoids
• Minimal crossing number implies minimal supporting genus
• Rail knotoids
• Invariants of multi-linkoids

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