Doodles on surfaces

DOI10.1142/S0218216518500712zbMath1403.57003arXiv1612.08473OpenAlexW2962809735MaRDI QIDQ4558257

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Publication date: 21 November 2018

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

Full work available at URL: https://arxiv.org/abs/1612.08473

zbMATH Keywords

minimal diagramsdoodlesimmersed circlesvirtual doodles

Mathematics Subject Classification ID

Related Items (13)

An Alexander-type invariant for doodles ⋮ Doodles and commutator identities ⋮ Alexander and Markov theorems for generalized knots, I ⋮ Alexander and Markov theorems for generalized knots, II generalized braids ⋮ Structure and automorphisms of pure virtual twin groups ⋮ Cactus groups, twin groups, and right-angled Artin groups ⋮ Conjugacy classes and automorphisms of twin groups ⋮ Alexander and Markov theorems for virtual doodles ⋮ Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms ⋮ Some remarks on twin groups ⋮ Polynomial invariants of virtual doodles and virtual knots ⋮ Colorings and doubled colorings of virtual doodles ⋮ Structural aspects of twin and pure twin groups

Cites Work

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• Doodle groups
• Detecting Non-Triviality of Virtual Links
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• A NOTE ON NON-CLASSICAL VIRTUAL KNOTS
• Generalised Biquandles for Generalised Knot Theories
• Algorithmic topology and classification of 3-manifolds

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