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20052019
most citedHomology of ternary algebras yielding invariants of knots and knotted surfaces

11 citations · 30 across the 12 of their papers we have counts for

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Showing 2019 · math.GTShow all

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math.GT2019

Knot-theoretic flocks

Maciej Niebrzydowski, Agata Pilitowska, Anna Zamojska-Dzienio

We characterize the para-associative ternary quasigroups (flocks) applicable to knot theory, and show which of these structures are isomorphic. We enumerate them up to order 64. We…

math.GT2019

Layers of knot region colorings and higher differentials

Maciej Niebrzydowski

We inductively define layers of colorings of knot and knotted surface diagrams using ternary quasigroups. Homological invariants from such systems of colorings use shorter differen…