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math.CO2026
Invariance of rowmotion for variants of the Tamari lattice
Ben Adenbaum, Emily Barnard, Cesar Ceballos +6
We show that the rowmotion operator from dynamical algebraic combinatorics behaves the same on all alt -Tamari lattices for a fixed lattice path . We use this invariance of r…
math.CO2026
Noncrossing Combinatorics, the Full Twist, and Decategorification of Knot Invariants
Colin Defant, Nathan Williams
Much work in knot theory has consisted of categorifying, and thereby strengthening, knot invariants. We take the opposite approach: decategorification, more commonly called combina…