Aug 22, 2022 · Abstract:Thomas and Williams conjectured that rowmotion acting on the rational (a,b)-Tamari lattice has order a+b-1.
We construct an equivariant bijection that proves this conjecture when a ≡ 1 ( mod b ) ; in fact, we determine the entire orbit structure of rowmotion in this ...
Request PDF | On Jul 1, 2024, Colin Defant and others published Rowmotion on \(m\)-Tamari and biCambrian lattices | Find, read and cite all the research you ...
Abstract. Thomas and Williams conjectured that rowmotion acting on the rational (a, b)-. Tamari lattice has order a + b − 1. We construct an equivariant ...
A popular and ubiquitous notion in dynamical algebraic combinatorics is that of homomesy, which occurs when a statistic on a set of objects has the same average ...
Rowmotion is a simple cyclic action on the distributive lattice of order ideals of a poset: it sends the order ideal x to the order ideal generated by the ...
Aug 22, 2022 · Thomas and Williams conjectured that rowmotion acting on the rational $(a,b)$-Tamari lattice has order $a+b-1$. We construct an equivariant ...
https://dblp.org/rec/journals/combtheory/DefantL24. Colin Defant, James Lin: Rowmotion on \(m\)-Tamari and biCambrian lattices. Comb. Theory 4(1) (2024). [j44].
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Rowmotion is a well-studied operator on the distributive lattice of order ideals of a poset. In 2016, Barnard generalized the definition of rowmotion to ...