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@book{Haglund-qt-catalan,
	Author = {Haglund, J.},
	Date-Modified = {2019-05-12 13:41:23 +0300},
	Number = {41},
	Publisher = {American Mathematical Society, Providence, RI},
	Series = {University {Lecture} {Series}},
	Title = {{The $q$,$t$-{Catalan} Numbers and the Space of Diagonal Harmonics}},
	Year = {2008}}

@misc{ceballos_hopf_2018,
	Author = {N. Bergeron and C. Ceballos and V. Pilaud},
	Date-Modified = {2019-05-12 13:36:54 +0300},
	Eprint = {1807.03044},
	Eprinttype = {arxiv},
	Title = {Hopf dreams},
	Year = {2018}}

@article{BergeronPrevilleRatelle,
	Author = {F. Bergeron and L.-F. Pr\'eville-Ratelle},
	Date-Modified = {2019-05-12 13:36:02 +0300},
	Doi = {10.4310/joc.2012.v3.n3.a4 },
	Journal = {J. Combinatorics},
	Number = {3},
	Pages = {317--341},
	Title = {Higher trivariate diagonal harmonics via generalized Tamari posets},
	Volume = {3},
	Year = {2012}}

@article{bjorner97shellable,
	Author = {A. Bj{\"o}rner and M. L. Wachs},
	Date-Modified = {2019-05-12 13:38:42 +0300},
	Doi = {10.1090/S0002-9947-97-01838-2},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {3945--3975},
	Title = {Shellable nonpure complexes and posets. II},
	Volume = {349},
	Year = {1997}}

@misc{ceballos18the,
	Author = {C. Ceballos and A. Padrol and C. Sarmiento},
	Eprint = {1805.03566},
	Eprinttype = {arxiv},
	Title = {The $\nu$-{T}amari Lattice as the Rotation Lattice of $\nu$-Trees},
	Year = {2018}}

@article{day79characterizations,
	Author = {A. Day},
	Journal = {Canad. J. Math.},
	Pages = {69--78},
	Title = {Characterizations of Finite Lattices that are Bounded-Homomorphic Images or Sublattices of Free Lattices},
	Volume = {31},
	Year = {1979}}

@article{geyer94on,
	Author = {W. Geyer},
	Journal = {Discrete Math.},
	Pages = {99--122},
	Title = {On {T}amari Lattices},
	Volume = {133},
	Year = {1994}}

@book{hoissen12associahedra,
	Date-Modified = {2019-05-12 13:44:00 +0300},
	Editor = {F. M{\"u}ller-Hoissen and J. M. Pallo and J. Stasheff},
	Publisher = {Birkh{\"a}user, Basel},
	Title = {{Associahedra, Tamari Lattices and Related Structures}},
	Year = {2012}}

@article{markowsky92primes,
	Author = {G. Markowsky},
	Date-Modified = {2019-05-12 13:43:05 +0300},
	Doi = {10.1007/bf00383950 },
	Journal = {Order},
	Number = {3},
	Pages = {265--290},
	Title = {Primes, irreducibles and extremal lattices},
	Volume = {9},
	Year = {1992}}

@misc{muehle18noncrossing,
	Author = {H. M{\"u}hle},
	Eprint = {1809.01405},
	Eprinttype = {arxiv},
	Title = {Noncrossing Partitions, {T}amari Lattices, and Parabolic Quotients of the Symmetric Group},
	Year = {2018}}

@misc{muehle18tamari,
	Author = {H. M{\"u}hle and N. Williams},
	Eprint = {1804.02761},
	Eprinttype = {arxiv},
	Title = {Tamari Lattices for Parabolic Quotients of the Symmetric Group},
	Year = {2018}}

@article{preville17enumeration,
	Author = {L.-F. Pr{\'e}ville-Ratelle and X. Viennot},
	Date-Modified = {2019-05-12 13:44:48 +0300},
	Doi = {10.1090/tran/7004 },
	Journal = {Trans. Amer. Math. Soc.},
	Number = {7},
	Pages = {5219--5239},
	Title = {The enumeration of generalized Tamari intervals},
	Volume = {369},
	Year = {2017}}

@phdthesis{tamari51monoides,
	Author = {D. Tamari},
	Institution = {Universit{\'e} de Paris},
	Title = {{Monoides Pr{\'e}ordonn{\'e}s et Cha{\^\i}nes de Malcev}},
	Type = {Th{\`e}se de Math{\'e}matiques},
	Year = {1951}}

@article{tamari62algebra,
	Author = {D. Tamari},
	Date-Modified = {2019-05-12 13:51:10 +0300},
	Journal = {Nieuw Arch. Wisk. (3)},
	Pages = {131--146},
	Title = {The algebra of bracketings and their enumeration},
	Volume = {10},
	Year = {1962}}

@article{fpr17nonsep,
	Author = {Fang, W. and Pr{\'e}ville-Ratelle, L.-F.},
	Date-Modified = {2019-05-12 13:41:00 +0300},
	Journal = {European J. Combin.},
	Keywords = {10.1016/j.ejc.2016.10.003 },
	Pages = {69--84},
	Title = {The enumeration of generalized Tamari intervals},
	Volume = {61},
	Year = {2017}}

@misc{full-version,
	Author = {C. Ceballos and W. Fang and H. M{\"u}hle},
	Eprint = {1903.08515},
	Eprinttype = {arXiv},
	Title = {The {S}teep-{B}ounce {Z}eta {M}ap in {P}arabolic {C}ataland},
	Year = {2019}}

@article{haglund_conjectured_2005,
	Author = {Haglund, J. and Loehr, N. A.},
	Date-Modified = {2019-05-12 13:42:25 +0300},
	Doi = {10.1016/j.disc.2004.01.022 },
	Journal = {Discrete Math.},
	Number = {1-3},
	Pages = {189--204},
	Title = {A conjectured combinatorial formula for the {H}ilbert series for diagonal harmonics},
	Volume = {298},
	Year = {2005}}