A combinatorial description of knotted surfaces and their isotopies

DOI10.1006/aima.1997.1618zbMath0870.57032OpenAlexW2082916529MaRDI QIDQ1355467

J. Scott Carter, Joachim H. Rieger, Masahico Saito

Publication date: 28 August 1997

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

Full work available at URL: https://semanticscholar.org/paper/cb192e05778960ddfb9c597753b07c843acdb1f4

zbMATH Keywords

isotopycombinatorialknotted surfaces

Mathematics Subject Classification ID

Isotopy in PL-topology (57Q37)

Related Items (26)

Crossing with the circle in Dijkgraaf–Witten theory and applications to topological phases of matter ⋮ ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS ⋮ Grid movies ⋮ Non-orientable surfaces in 4-dimensional space ⋮ Motion groupoids and mapping class groupoids ⋮ Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space ⋮ Movie moves for knotted surfaces with markings ⋮ INVARIANTS OF SURFACE LINKS IN ℝ⁴ VIA SKEIN RELATION ⋮ Invariants of 4-manifolds from Khovanov-Rozansky link homology ⋮ Higher-dimensional algebra. IV: 2-tangles. ⋮ Cubulated moves for 2-knots ⋮ Knot homology via derived categories of coherent sheaves. I: The \(\mathfrak{sl}(2)\)-case ⋮ CATEGORICAL GROUPS, KNOTS AND KNOTTED SURFACES ⋮ An invariant of tangle cobordisms ⋮ Computations of quandle cocycle invariants of knotted curves and surfaces ⋮ An invariant of link cobordisms from Khovanov homology ⋮ Quandle cohomology and state-sum invariants of knotted curves and surfaces ⋮ Towards invariants of surfaces in $4$-space via classical link invariants ⋮ Fixing the functoriality of Khovanov homology ⋮ Khovanov homology and categorification of skein modules ⋮ Functoriality for the \(\mathfrak{su}_{3}\) Khovanov homology ⋮ The fundamental crossed module of the complement of a knotted surface ⋮ Notes on the complexity of exact view graph algorithms for piecewise smooth algebraic surfaces ⋮ Weakly minimal area of cubical 2-knots on \(\mathbb{R}^4\) ⋮ Spherical 2-categories and 4-manifold invariants ⋮ Infinitesimal 2-braidings and differential crossed modules

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