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arXiv · 1502.03904

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

Zhiyun Cheng·Hongzhu Gao
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Abstract

In this note we prove that for any finite quandle $X$ and any 2-cocycle $ϕ\in Z^2_{Q\pm}(X; \mathds{Z})$, the cocycle invariant $Φ^{\pm}_ϕ(K)$ is trivial for all knots $K$.

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Zhiyun Cheng, Hongzhu Gao. 2015-02-13. Integral positive (negative) quandle cocycle invariants are trivial for knots. https://arxiv.org/abs/1502.03904

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