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Deformations of Yang-Baxter operators via -Lie algebra cohomology
Mohamed Elhamdadi, Emanuele Zappala
We introduce a cohomology theory of -ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations. For -ary self-dis…
math.GT2022
Extensions of Augmented Racks and Surface Ribbon Cocycle Invariants
Masahico Saito, Emanuele Zappala
A rack is a set with a binary operation that is right-invertible and self-distributive, properties diagrammatically corresponding to Reidemeister moves II and III, respectively. A…