%0 Journal Article %T Birational and noncommutative lifts of antichain toggling and rowmotion %J Algebraic Combinatorics %D 2020 %P 955-984 %V 3 %N 4 %I MathOA foundation %U https://doi.org/10.5802/alco.125 %R 10.5802/alco.125 %G en %F ALCO_2020__3_4_955_0