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Integral positive (negative) quandle cocycle invariants are trivial for knots

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Publication:260546
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DOI10.1016/J.TOPOL.2016.01.009zbMath1344.57005arXiv1502.03904OpenAlexW2962710982MaRDI QIDQ260546

Zhiyun Cheng, Hongzhu Gao

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1502.03904


zbMATH Keywords

knot invariants2-cocycle invariantquandle cohomology


Mathematics Subject Classification ID





Cites Work

  • Unnamed Item
  • A classifying invariant of knots, the knot quandle
  • On rack cohomology.
  • The Betti numbers of some finite racks
  • Trunks and classifying spaces
  • Positive quandle homology and its applications in knot theory
  • Surgery untying of coloured knots
  • The shadow nature of positive and twisted quandle invariants of knots
  • DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
  • Quandle cohomology and state-sum invariants of knotted curves and surfaces
  • Quandle homology groups, their Betti numbers, and virtual knots
  • Twisted quandle homology theory and cocycle knot invariants




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