Bibliography on Non-Crossing Partitions
for the Combinatorics Seminar, Fall 2008

General introduction/motivation:

Rodica Simion; Noncrossing partitions. Formal Power Series and Algebraic Combinatorics (Proc., Vienna, 1997). Discrete Math. 217 (2000), no. 1-3, 367-409. MR1766277 (2001g:05011).

Jon McCammond; Noncrossing partitions in surprising locations. Amer. Math. Monthly 113 (2006), no. 7, 598-610. MR2252931 (2007c:05015).

Research articles:

G. Kreweras; Sur les partitions non croisées d'un cycle. (French) Discrete Math. 1 (1972), no. 4, 333-350. MR0309747 (46 #8852).
[Garry: Oct. 14, 21]

Rodica Simion and Daniel Ullman; On the structure of the lattice of noncrossing partitions. Discrete Math. 98 (1991), no. 3, 193-206. MR1144402 (92j:06003).
[Nate]

V. Reiner; Non-crossing partitions for classical reflection groups. Discrete Math. 177 (1997), no. 1-3, 195-222. MR1483446 (99f:06005).

C. Athanasiadis; On noncrossing and nonnesting partitions for classical reflection groups. Electronic J. Combin. 5 (1998), Research Paper 42, 16 pp. (electronic). MR1644234 (99i:05204).

T. Brady; A partial order on the symmetric group and new K(π,1)'s for the braid groups. Adv. Math. 161 (2001), no. 1, 20-40. (Sections 1, 2, 3)
[Simon]

William Y.C. Chen, Eva Y.P. Deng, and Rosena R.X. Du, Reduction of m-regular noncrossing partitions. European J. Combin. 26 (2005), no. 2, 237-243. MR2110979 (2006a:05018).
[Jackie]

David Bessis and Ruth Corran; Non-crossing partitions of type (e,e,r). Adv. Math. 202 (2006), no. 1, 1-49. (Sections 0, 1, 2) MR2366971 (2008k:20088).

H. Thomas; Tamari lattices and noncrossing partitions in type B. Discrete Math. 306 (2006), no. 21, 2711-2723. MR2263728 (2008d:05014).

Elena Barcucci, Antonio Bernini, Luca Ferrari, and Maddalena Poneti, A distributive lattice structure connecting Dyck paths, noncrossing partitions and 312-avoiding permutations. Order 22 (2005), no. 4, 311-328 (2006). MR2220342 (2006m:05016).

C. Athanasiadis, T. Brady, and C. Watt; Shellability of noncrossing partition lattices. Proc. Amer. Math. Soc. 135 (2007), no. 4, 939-949 (electronic). MR2262893 (2007j:05221).
[Yash]

T. Brady and C. Watt; Non-crossing partition lattices in finite real reflection groups. Trans. Amer. Math. Soc. 360 (2008), no. 4, 1983-2005. MR2366971 (2008k:20088).