Extended quandle spaces and shadow homotopy invariants of classical links

DOI10.1142/S0218216517410103zbMath1373.57035arXiv1608.04725OpenAlexW2963289705MaRDI QIDQ2977924

Seung Yeop Yang

Publication date: 20 April 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04725

zbMATH Keywords

quandle homotopy invariantquandle homologyshadow homotopy invariant

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35) Homotopy groups of special spaces (55Q52)

Related Items (5)

The second Yang–Baxter homology for the HOMFLYPT polynomial ⋮ On torsion in homology of finite connected quandles ⋮ The geometric realization of a normalized set-theoretic Yang–Baxter homology of biquandles ⋮ Unnamed Item ⋮ A prismatic classifying space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On homotopy groups of quandle spaces and the quandle homotopy invariant of links
• Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids. With contributions by Christopher D. Wensley and Sergei V. Soloviev
• A classifying invariant of knots, the knot quandle
• Homological characterization of the unknot
• Surfaces in 4-space
• Trunks and classifying spaces
• Quandle homotopy invariants of knotted surfaces
• Semi-simplicial complexes and singular homology
• Homologie singulière des espaces fibrés. Applications
• Distributivity versus associativity in the homology theory of algebraic structures
• The rack space
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• RACKS AND LINKS IN CODIMENSION TWO
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
• TACKLING THE TREFOILS
• James bundles
• Knots and Distributive Homology: From Arc Colorings to Yang–Baxter Homology

This page was built for publication: Extended quandle spaces and shadow homotopy invariants of classical links