On homotopy groups of quandle spaces and the quandle homotopy invariant of links

DOI10.1016/j.topol.2011.02.006zbMath1227.57020OpenAlexW1991528311MaRDI QIDQ536051

Takefumi Nosaka

Publication date: 16 May 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.02.006

zbMATH Keywords

homotopy grouplinkquandletransfergroup homologyrack2-cocycle invariantHurewicz homomorphismPostnikov towerrack space

Mathematics Subject Classification ID

Related Items (22)

Shifting chain maps in quandle homology and cocycle invariants ⋮ SOME TOPOLOGICAL ASPECTS OF 4-FOLD SYMMETRIC QUANDLE INVARIANTS OF 3-MANIFOLDS ⋮ The second Yang–Baxter homology for the HOMFLYPT polynomial ⋮ On torsion in homology of finite connected quandles ⋮ Quandle colorings of knots and applications ⋮ On classification of irreducible quandle modules over a connected quandle ⋮ The bridge number of surface links and kei colorings ⋮ The geometric realization of a normalized set-theoretic Yang–Baxter homology of biquandles ⋮ Knot quandle decompositions ⋮ Algebraic properties of quandle extensions and values of cocycle knot invariants ⋮ Quandle colorings vs. biquandle colorings ⋮ Quandle homotopy invariants of knotted surfaces ⋮ Extended quandle spaces and shadow homotopy invariants of classical links ⋮ Quandle cohomology is a Quillen cohomology ⋮ Homotopical interpretation of link invariants from finite quandles ⋮ UNKNOTTING NUMBERS AND TRIPLE POINT CANCELLING NUMBERS OF TORUS-COVERING KNOTS ⋮ 4-fold symmetric quandle invariants of 3-manifolds ⋮ Foundations of topological racks and quandles ⋮ Quandle coloring and cocycle invariants of composite knots and abelian extensions ⋮ Unnamed Item ⋮ A prismatic classifying space ⋮ Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles

Cites Work

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