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math.CO2022★ 1 cited
An embedding of the skein action on set partitions into the skein action on matchings
Jesse Kim
Rhoades defined a skein action of the symmetric group on noncrossing set partitions which generalized an action of the symmetric group on matchings. The -action on…
math.CO2022
A pentagonal number theorem for tribone tilings
Jesse Kim, James Propp
Conway and Lagarias showed that certain roughly triangular regions in the hexagonal grid cannot be tiled by shapes Thurston later dubbed tribones. Here we study a two-parameter fam…
math.CO2022
A combinatorial model for the fermionic diagonal coinvariant ring
Jesse Kim
Let and be two lists of variables and consider the diagonal action of on the exterior algebra $\wedge \{ Θ_…