activity
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 2006Show all

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math.GT2006

Homology of dihedral quandles

Maciej Niebrzydowski, Jozef H. Przytycki

We solve the conjecture by R. Fenn, C. Rourke and B. Sanderson that the rack homology of dihedral quandles satisfies H_3^R(R_p) = Z \oplus Z_p for p odd prime. We also show that H_…

math.GT2006

On colored quandle longitudes and its applications to tangle embeddings and virtual knots

Maciej Niebrzydowski

We define new invariants of knots by means of quandle colorings and longitudinal information. These invariants can be applied to a tangle embedding problem and recognizing non-clas…