Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies

DOI10.4153/CJM-2011-035-0zbMath1245.57014MaRDI QIDQ2880081

Atsushi Ishii, Masahide Iwakiri

Publication date: 12 April 2012

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

Full work available at URL: http://cms.math.ca/10.4153/CJM-2011-035-0

zbMATH Keywords

flowspatial graphquandle cocycle invariantknotted handlebody

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15)

Related Items (21)

New quantum invariants of theta-curves with base points ⋮ Handlebody-knots and development of quandle theory ⋮ A table of n-component handlebody links of genus n+1 up to six crossings ⋮ Unknotting numbers for handlebody-knots and Alexander quandle colorings ⋮ The Markov theorems for spatial graphs and handlebody-knots with Y-orientations ⋮ HL-homotopy of handlebody-links and Milnor's invariants ⋮ The topology of Helmholtz domains ⋮ Derivatives with Alexander pairs for quandles ⋮ Rigidity and symmetry of cylindrical handlebody-knots ⋮ A multiple conjugation quandle and handlebody-knots ⋮ The IH-complex of spatial trivalent graphs ⋮ Quandle cocycles from invariant theory ⋮ The Gordian distance of handlebody-knots and Alexander biquandle colorings ⋮ A \(G\)-family of quandles and handlebody-knots ⋮ The tunnel number and the cutting number with constituent handlebody-knots ⋮ Biquandle (co)homology and handlebody-links ⋮ Unknotting annuli and handlebody-knot symmetry ⋮ Levels of knotting of spatial handlebodies ⋮ Higher arity self-distributive operations in Cascades and their cohomology ⋮ Distributivity versus associativity in the homology theory of algebraic structures ⋮ INVARIANTS OF HANDLEBODY-KNOTS VIA YOKOTA'S INVARIANTS

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