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math.KT2022
Pre-crossed modules and rack homology
Jacob Mostovoy
We define a homology theory for pre-crossed modules that specifies to rack homology in the case when the pre-crossed module is freely generated by a rack.
math.GT2022
Cactus Doodles
Jacob Mostovoy, Andrea Rincón-Prat
Cactus doodles are combinatorial/geometric objects that are related to cactus groups in the same way as knots are related to braids. We define them in terms of local moves on plane…