CUBULATED MOVES AND DISCRETE KNOTS

DOI10.1142/S021821651350079XzbMath1287.57006arXiv1302.2133OpenAlexW2963911018MaRDI QIDQ5404518

Alberto Verjovsky, Cynthia Verjovsky Marcotte, Gabriela Hinojosa

Publication date: 24 March 2014

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

Full work available at URL: https://arxiv.org/abs/1302.2133

zbMATH Keywords

discrete knotscubic knots

Mathematics Subject Classification ID

Related Items (3)

Smoothing closed gridded surfaces embedded in ℝ4 ⋮ Cubulated moves for 2-knots ⋮ Weakly minimal area of cubical 2-knots on \(\mathbb{R}^4\)

Cites Work

• An infinite family of Legendrian torus knots distinguished by cube number
• Finite-type invariants of cubic complexes.
• Any smooth knot \(\mathbb S^{n} \hookrightarrow \mathbb R^{n+2}\) is isotopic to a cubic knot contained in the canonical scaffolding of \(\mathbb R^{n+2}\)
• CUBE NUMBER CAN DETECT CHIRALITY AND LEGENDRIAN TYPE OF KNOTS
• CUBE DIAGRAMS AND 3-DIMENSIONAL REIDEMEISTER-LIKE MOVES FOR KNOTS
• MINIMAL KNOTTING NUMBERS
• Wild knots in higher dimensions as limit sets of Kleinian groups
• Cubulations, immersions, mappability and a problem of habegger

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