A knotted 2-dimensional foam with non-trivial cocycle invariant

preprint2012arXivOpen access

By 2-twist-spinning the knotted graph that represents the knotted handlebody $5_2$ , we obtain a knotted foam in 4-dimensional space with a non-trivial quandle cocycle invariant.

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A knotted 2-dimensional foam with non-trivial cocycle invariant

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