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genus zero permutation and noncrossing partition
[2]: Rodica Simion, MR 1766277 Noncrossing partitions, Discrete Math. 217 (2000), no. 1-3, 367--409. … [3]: Philippe Biane, MR 1475837 Some properties of crossings and partitions, Discrete Math. 175 (1997), no. 1-3, 41--53. …