A complete invariant for doodles on a 2-sphere

DOI10.46298/cm.12893MaRDI QIDQ6590899

Jacob Mostovoy

Publication date: 21 August 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite type invariantdiagram invariantdoodle

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Finite-type invariants of classical and virtual knots
• On the algebra of arrow diagrams
• Virtual knot theory
• Free groups and finite-type invariants of pure braids
• Introduction to Vassiliev Knot Invariants
• Doodle groups
• Doodles on surfaces
• Vassiliev invariants classify plane curves and doodles
• On Finite Order Invariants of Triple Points Free Plane Curves
• An Alexander-type invariant for doodles
• The universal finite-type invariant for braids, with integer coefficients

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