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We present an elementary type-preserving bijection between noncrossing and nonnesting partitions for all classical reflection groups, which answers a question of Athanasiadis.
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Alex Fink, Benjamin Iriarte Giraldo, Bijections between noncrossing and nonnesting partitions for classical reflection groups. Port. Math. 67 (2010), no. 3, pp. 369–401DOI 10.4171/PM/1869