Pseudo diagrams of knots, links and spatial graphs

zbMath1219.57006MaRDI QIDQ601292

Ryo Hanaki

Publication date: 4 November 2010

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1285334478

zbMATH Keywords

projectionsknotslinksspatial graphspseudo diagrams

Mathematics Subject Classification ID

Related Items (30)

Psybrackets, pseudoknots and singular knots ⋮ Regular projections of the link L6n1 ⋮ Tied pseudo links \& pseudo knotoids ⋮ A note on closed 3-braid knot shadows ⋮ Polynomial and signature invariants for pseudo-links via Goeritz matrices ⋮ On Arf Invariant and Trivializing Number ⋮ On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots ⋮ Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs ⋮ When can a link be obtained from another using crossing exchanges and smoothings? ⋮ On the kernels of the pro-\(l\) outer Galois representations associated to hyperbolic curves over number fields ⋮ Psyquandles, singular knots and pseudoknots ⋮ Knot fertility and lineage ⋮ Pseudo links in handlebodies ⋮ Psyquandle coloring quivers ⋮ The unknotting number and band-unknotting number of a knot ⋮ Unnamed Item ⋮ Pseudo knots and an obstruction to cosmetic crossings ⋮ The generalized Yamada polynomials of virtual spatial graphs ⋮ Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs ⋮ On scannable properties of the original knot from a knot shadow ⋮ Regular projections of the knot 62 ⋮ Trivializing number of knots ⋮ The linking-unlinking game ⋮ Combinatorial random knots ⋮ Labeled singular knots ⋮ Monoid and group of pseudo braids ⋮ The signed weighted resolution set is not a complete pseudoknot invariant ⋮ Cocycle enhancements of psyquandle counting invariants ⋮ Isotopy and homotopy invariants of classical and virtual pseudoknots ⋮ A study of projections of 2-bouquet graphs

Cites Work

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• Invariants of Graphs in Three-Space
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• An invariant of spatial graphs
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• Knotted Projections of Planar Graphs
• Local knots of $2$-spheres in $4$-manifolds
• Homeomorphic Continuous Curves in 2-Space are Isotopic in 3-Space

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