A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams

DOI10.4153/S0008414X23000299zbMATH Open1540.57021MaRDI QIDQ6543247

Toshio Saito, Ippei Ishii, Takuji Nakamura

Publication date: 24 May 2024

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

3-manifoldflow-spinevirtual knot diagramcoloring invariant

Mathematics Subject Classification ID

Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• The 6- and 8-palette numbers of links
• Branched standard spines of 3-manifolds
• Flows and spines
• A classifying invariant of knots, the knot quandle
• Moves for flow-spines and topological invariants of 3-manifolds
• Virtual knot theory
• Branched spines and Heegaard genus of 3-manifolds
• Surface-Knots in 4-Space
• On effective 9-colorings for knots
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