The study of integer partitions has a long and storied history, notably beginning with the pioneering work of Hardy and Ramanujan, and continues to be enriched by modern asymptotic techniques. Recent ...

The notion of noncrossing partitions of a partially ordered set (poset) is introduced here. When the poset in question is [n] = {1, 2, . . . , n} with the complete order of natural numbers, ...