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Invariance of rowmotion for variants of the Tamari lattice

Adenbaum, Ben et al.
arXiv (OAI Expanded) · Papers
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05e1806a07combinatorics
We show that the rowmotion operator from dynamical algebraic combinatorics behaves the same on all alt $ν$-Tamari lattices for a fixed lattice path $ν$. We use this invariance of rowmotion to establish cyclic sieving and homomesy results for rational Tamari lattices. We also conjecture that this inv
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