Bounds for Kirby-Thompson invariants of knotted surfaces

DOI10.1007/s10711-023-00835-6zbMath1529.57022arXiv2206.02936OpenAlexW4386502677MaRDI QIDQ6053479

Cindy Zhang, Puttipong Pongtanapaisan, José Román Aranda Cuevas

Publication date: 27 September 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02936

zbMATH Keywords

curve complexknotted surfacespants complexbridge trisectionKirby-Thompson invariants

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Distance and bridge position
• Incompressible surfaces in 2-bridge knot complements
• An enumeration of surfaces in four-space
• Bridge trisections and classical knotted surface theory
• Stably irreducible surfaces in \(S^ 4\)
• Trisections with Kirby-Thompson length 2
• HEEGAARD SPLITTINGS OF THE TRIVIAL KNOT
• Bridge and pants complexities of knots
• A new invariant of 4-manifolds
• Bridge trisections of knotted surfaces in 𝑆⁴
• Kirby–Thompson distance for trisections of knotted surfaces

This page was built for publication: Bounds for Kirby-Thompson invariants of knotted surfaces