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19982005
most citedCocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology

9 citations · 29 across the 7 of their papers we have counts for

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Showing 2002Show all

2 papers · 1 filter

math.GT2002★ 7 cited

Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles

J. Scott Carter, Mohamed Elhamdadi, Masahico Saito

A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.

math.GT2002

Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices

J. Scott Carter, Angela Harris, Marina Appiou Nikiforou +1

The theory of quandle (co)homology and cocycle knot invariants is rapidly being developed. We begin with a summary of these recent advances. One such advance is the notion of a dyn…