Non-crossing partition lattices in finite real reflection groups

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How researchers see this paper

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Finite complex reection arrangements are K(; 1) (2015, methodology): “The real case is done in [3]; a recent beautiful case-free argument has been found by Brady-Watt [15].”
Noncrossing partitions and the shard intersection order (2009, unknown): “There is a complete fan AX ( γ ) (see [10, Theorem 8.3]) related to X ( γ ) as the Cambrian fan F c is related to the collection of shards unremoved by Θ c .”
Finite complex reflection arrangements are $K(\pi,1)$ (2006, unknown): “The real case is done in [3]; a recent beautiful case-free argument has been found by Brady-Watt [15].”
Exceptional sequences and clusters (2009, background): “We note that these results are known in the finite case [2], [4] and have been extended to the affine case by Ingalls and Thomas [13].”
Cambrian fans (2006, background): “Athanasiadis, Brady, McCammond and Watt [1] use the construction of [9] to give a bijection between clusters and noncrossing partitions.”