An enumeration of surfaces in four-space

zbMath0861.57033MaRDI QIDQ1804196

Katsuyuki Yoshikawa

Publication date: 19 May 1997

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

zbMATH Keywords

surfaceknot theoryknotted surfacesisotopy classAlexander idealsfour-valent graph

Mathematics Subject Classification ID

Related Items

Seifert hypersurfaces of 2-knots and Chern-Simons functional, On invariants for surface-links in entropic magmas via marked graph diagrams, Surface-knots, A combinatorial description of knotted surfaces and their isotopies, Homology of ternary algebras yielding invariants of knots and knotted surfaces, Polynomial of an oriented surface-link diagram via quantum \(A_2\) invariant, On a surface singular braid monoid, An enumeration of immersed surface-links in 4-space, Bridge trisections of knotted surfaces in 𝑆⁴, Bounds for Kirby-Thompson invariants of knotted surfaces, Bikei module invariants of unoriented surface-links, On the triple point number of surface-links in Yoshikawa’s table, Polynomial invariants for virtual marked graphs and virtual surface-link theory I, Biquasile colorings of oriented surface-links, Biquandle module invariants of oriented surface-links, Tri-plane diagrams for simple surfaces in S4, Minimal generating sets of moves for surfaces immersed in the four-space, Flattening knotted surfaces, 2-Knot homology and Yoshikawa move, All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron, Generalizations of a Conway algebra for oriented surface-links via marked graph diagrams, On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links, Isotopies of surfaces in 4-manifolds via banded unlink diagrams, Towards invariants of surfaces in $4$-space via classical link invariants, Presentation of immersed surface-links by marked graph diagrams, Biquandle cohomology and state-sum invariants of links and surface-links, On a banded link presentation of knotted surfaces, Bikei invariants and gauss diagrams for virtual knotted surfaces, Minimal generating set of planar moves for surfaces embedded in the four-space, Minimal hard surface-unlink and classical unlink diagrams, The fundamental crossed module of the complement of a knotted surface, Bridge trisections and classical knotted surface theory, Triple point invariants of non-orientable surface-links, Surface-links with square-type ch-graphs