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@book{armstrong09generalized,
	Author = {D. Armstrong},
	Date-Modified = {2017-04-14 06:52:19 +0000},
	Doi = {10.1090/s0065-9266-09-00565-1},
	Number = {Memoirs of the AMS, Vol. 202},
	Publisher = {Amer. Math. Soc.},
	Title = {{Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups}},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/s0065-9266-09-00565-1}}

@article{athanasiadis08absolute,
	Author = {C. A. Athanasiadis and M. Kallipoliti},
	Date-Modified = {2017-04-14 06:55:03 +0000},
	Doi = {10.1016/j.jcta.2007.12.008},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {1286--1295},
	Title = {The absolute order on the symmetric group, constructible partially ordered sets and Cohen--Macaulay complexes},
	Volume = {115},
	Year = {2008},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2007.12.008}}

@article{bessis03dual,
	Author = {D. Bessis},
	Date-Modified = {2017-04-14 06:58:53 +0000},
	Doi = {0.1016/j.ansens.2003.01.001},
	Journal = {Ann. Sci. {\'E}. N. S.},
	Pages = {647--683},
	Title = {The dual braid monoid},
	Volume = {36},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/0.1016/j.ansens.2003.01.001}}

@article{biane97some,
	Author = {P. Biane},
	Date-Modified = {2017-04-14 07:02:06 +0000},
	Doi = {10.1016/s0012-365x(96)00139-2},
	Journal = {Discrete Math.},
	Pages = {41--53},
	Title = {Some properties of crossings and partitions},
	Volume = {175},
	Year = {1997},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/s0012-365x(96)00139-2}}

@article{biane02parking,
	Author = {P. Biane},
	Date-Modified = {2017-04-14 07:00:33 +0000},
	Journal = {Electron. J. Combin.},
	Pages = {Note N7},
	Title = {Parking functions of types $A$ and $B$},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v9i1n7},
	Volume = {9},
	Year = {2002},
	Bdsk-Url-1 = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v9i1n7}}

@article{bousquet00constellations,
	Author = {Bousquet-M{\'e}lou, M. and Schaeffer, G.},
	Date-Modified = {2017-04-14 07:02:58 +0000},
	Doi = {10.1006/aama.1999.0673},
	Journal = {Adv. Appl. Math.},
	Pages = {337--368},
	Title = {Enumeration of planar constellations},
	Volume = {24},
	Year = {2000},
	Bdsk-Url-1 = {http://dx.doi.org/10.1006/aama.1999.0673}}

@article{edelman80chain,
	Author = {P. H. Edelman},
	Date-Modified = {2017-04-14 07:04:53 +0000},
	Doi = {10.1016/0012-365x(80)90033-3},
	Journal = {Discrete Math.},
	Pages = {171--180},
	Title = {Chain enumeration and non-crossing partitions},
	Volume = {31},
	Year = {1980},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0012-365x(80)90033-3}}

@article{gould56some,
	Author = {H. W. Gould},
	Date-Modified = {2017-04-14 07:06:10 +0000},
	Doi = {10.2307/2306429},
	Journal = {Amer. Math. Monthly},
	Pages = {84--91},
	Title = {Some generalizations of Vandermonde's convolution},
	Volume = {63},
	Year = {1956},
	Bdsk-Url-1 = {http://dx.doi.org/10.2307/2306429}}

@article{goulden92combinatorial,
	Author = {I. P. Goulden and D. M. Jackson},
	Date-Modified = {2017-04-14 07:07:32 +0000},
	Doi = {10.1016/s0195-6698(05)80015-0},
	Journal = {European J. Combin.},
	Pages = {357--365},
	Title = {The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group},
	Volume = {13},
	Year = {1992},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/s0195-6698(05)80015-0}}

@article{herzog76representation,
	Author = {M. Herzog and K. B. Reid},
	Date-Modified = {2017-04-14 07:08:57 +0000},
	Doi = {10.1017/s1446788700014774},
	Journal = {J. Austral. Math. Soc. (Ser. A)},
	Pages = {321--331},
	Title = {Representation of permutations as products of cycles of fixed length},
	Volume = {22},
	Year = {1976},
	Bdsk-Url-1 = {http://dx.doi.org/10.1017/s1446788700014774}}

@misc{huang15absolute,
	Author = {J. Huang and J. B. Lewis and V. Reiner},
	Date-Modified = {2017-04-14 07:09:50 +0000},
	Eprint = {1506.03332},
	Eprinttype = {arxiv},
	Title = {Absolute order in general linear groups},
	Year = {2015}}

@article{krattenthaler10decomposition,
	Author = {C. Krattenthaler and T. W. M\"uller},
	Date-Modified = {2017-04-14 07:12:58 +0000},
	Doi = {10.1090/s0002-9947-09-04981-2},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {2723--2787},
	Title = {Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions},
	Volume = {362},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/s0002-9947-09-04981-2}}

@article{kreweras72sur,
	Author = {G. Kreweras},
	Date-Modified = {2017-04-14 07:15:51 +0000},
	Doi = {10.1016/0012-365x(72)90041-6},
	Journal = {Discrete Math.},
	Pages = {333--350},
	Title = {Sur les partitions non croisees d'un cycle},
	Volume = {1},
	Year = {1972},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0012-365x(72)90041-6}}

@article{simion00noncrossing,
	Author = {R. Simion},
	Date-Modified = {2017-04-14 07:15:29 +0000},
	Doi = {10.1016/s0012-365x(99)00273-3},
	Journal = {Discrete Math.},
	Pages = {397--409},
	Title = {Noncrossing partitions},
	Volume = {217},
	Year = {2000},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/s0012-365x(99)00273-3}}