22 citations · 79 across the 29 of their papers we have counts for
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math.GT2016
Alexander-Beck modules detect the unknot
Markus Szymik
We introduce the Alexander-Beck module of a knot as a canonical refinement of the classical Alexander module, and we prove that this new invariant is an unknot-detector.
math.GT2016
Permutations, power operations, and the center of the category of racks
Markus Szymik
Racks and quandles are rich algebraic structures that are strong enough to classify knots. Here we develop several fundamental categorical aspects of the theories of racks and quan…