% Encoding: UTF-8 %% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for MR at 2017-10-29 12:30:58 -0700 %% Saved with string encoding Unicode (UTF-8) @article{HLOps, Author = {Garsia, A.M. and Xin, G. and Zabrocki, M.}, Date-Added = {2017-10-29 19:28:02 +0000}, Date-Modified = {2017-10-29 19:29:09 +0000}, Journal = {Int. Math. Res. Not. IMRN}, Month = {Apr.}, Pages = {1264--1299}, Title = {Hall-Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics}, Volume = {6}, Doi = {10.1093/imrn/rnr060}, Year = {2012}} @article{cite-key, Date-Added = {2017-10-29 18:53:40 +0000}, Date-Modified = {2017-10-29 18:53:40 +0000}} @article{qLagrange, Author = {A.M. Garsia and M. Haiman}, Date-Added = {2017-10-29 17:50:59 +0000}, Date-Modified = {2017-10-29 18:27:34 +0000}, Journal = {J. Algebraic Combin.}, Pages = {191--244}, Title = {A remarkable $q, t$-Catalan sequence and $q$-Lagrange inversion}, Volume = {5}, Number = {3}, Year = {1996}, Doi = {10.1007/BF00243787}} @article{ShuffleProof, Author = {Carlsson, E. and Mellit, A.}, TITLE = {A proof of the shuffle conjecture}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {31}, YEAR = {2018}, NUMBER = {3}, PAGES = {661--697}, MRCLASS = {05E10 (05A30 05E05 33D52)}, MRNUMBER = {3787405}, DOI = {10.1090/jams/893}} @article{CompoShuffle, Author = {Haglund, J. and Morse, J. and Zabrocki, M.}, Journal = {Canad. J. Math.}, Title = {A compositional shuffle conjecture specifying touch points of the {D}yck path}, Year = {2012}, Volume = {64}, Pages = {822--844}, DOI = {10.4153/CJM-2011-078-4}} @article{Shuffle, Author = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J.B. and Ulyanov, A.}, Journal = {Duke Math. J.}, Number = {2}, Pages = {195--232}, Doi = {10.1215/S0012-7094-04-12621-1}, Volume = {126}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-04-12621-1}} @article{StatPoly, Author = {Aval, J.C. and D'Adderio, M. and Dukes, M. and Hicks, A. and Le Borgne, Y.}, Date-Added = {2017-10-29 17:30:55 +0000}, Date-Modified = {2017-10-29 18:27:03 +0000}, Journal = {J. Combin. Theory, Ser. A}, Month = {April}, Pages = {271--286}, Title = {Statistics on parallelogram polyominoes and a $q,t$-analogue of the Narayana numbers}, Volume = {123}, Number = {1}, Year = {2014}, doi = {j.jcta.2013.09.001}} @article{LabelledP, Author = {Avala, J.C. and Bergeron, F. and Garsia, A.M.}, Date-Added = {2017-10-29 17:27:57 +0000}, Date-Modified = {2017-10-29 18:27:25 +0000}, Journal = {J. Comb. Theory, Ser. A}, Title = {Combinatorics of labelled parallelogram polyominoes}, Year = {2015}} @misc{tDelta, Author = {Garsia, A.M. and Haglund, J. and Remmel, J.B. and Yoo, M.}, Eprint = {1710.07078}, Eprinttype = {arXiv}, Title = {A proof of the Delta Conjecture when $q=0$}, Year = {2017}} @article{qDelta, Author = {M. Romero}, Date-Added = {2017-10-29 16:02:39 +0000}, Date-Modified = {2017-10-29 16:03:34 +0000}, Journal = {Trans. Amer. Math. Soc.}, Pages = {7509--7530}, Title = {The Delta Conjecture at $q=1$}, Volume = {369}, Number = {10}, Year = {2017}, Doi = {10.1090/tran/7140}} @article{Brick, Author = {E\u{g}ecio\u{g}lu, \"{O} and Remmel, J.B.}, Date-Added = {2017-10-29 15:57:26 +0000}, Date-Modified = {2017-10-29 18:27:29 +0000}, Journal = {Discrete Appl. Math.}, Month = {Nov.}, Pages = {107--120}, Title = {Brick tabloids and the connection matrices between bases of symmetric functions}, Volume = {34}, Number = {1--3}, Year = {1991}, DOI = {10.1016/0166-218X(91)90081-7}} @article{Delta, Author = {Haglund, J. and Remmel, J.B. and Wilson, A.T.}, Title = {{The Delta Conjecture}}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {370}, YEAR = {2018}, NUMBER = {6}, PAGES = {4029--4057}, MRCLASS = {05E05 (05E10)}, MRNUMBER = {3811519}, DOI = {10.1090/tran/7096}} @book{Macdonald, AUTHOR = {Macdonald, I.G.}, TITLE = {Symmetric functions and {H}all polynomials}, SERIES = {Oxford Mathematical Monographs}, EDITION = {Second edition}, NOTE = {With contributions by A. Zelevinsky, Oxford Science Publications}, PUBLISHER = {The Clarendon Press, Oxford University Press, New York}, YEAR = {1995}, PAGES = {475}, MRCLASS = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)}, MRNUMBER = {1354144 (96h:05207)}, MRREVIEWER = {John R. Stembridge}} @Article{SciFi, author = { F. Bergeron and A.M. Garsia}, title = {Science fiction and {M}acdonald’s polynomials}, journal = {Algebraic methods and q-special functions (Montr{\'e}al, QC, 1996)}, year = {1999}, volume = {22}, pages = {1--52}, publisher = {American Mathematical Society Providence, RI}, } @article{Positivity, Author = {Bergeron, F. and Garsia, A.M. and Haiman, M. and Tesler, G.}, Date-Added = {2017-10-29 15:46:22 +0000}, Date-Modified = {2017-10-29 18:27:15 +0000}, Journal = {Methods Appl. Anal.}, Pages = {363--420}, Title = {Identities and Positivity Conjectures for some remarkable Operators in the Theory of Symmetric Functions}, Volume = {6}, Number = {3}, Year = {1999}, DOI = {10.4310/MAA.1999.v6.n3.a7}} @Article{haiman2002vanishing, author = {M. Haiman}, title = {Vanishing theorems and character formulas for the Hilbert scheme of points in the plane}, journal = {Invent. Math.}, year = {2002}, volume = {149}, number = {2}, pages = {371--407}, publisher = {Springer}, doi = {10.1007/s002220200219} } @Article{loehr2011computational, author = {N.A. Loehr and J.B. Remmel}, title = {A computational and combinatorial expos{\'e} of plethystic calculus}, journal = {J. Algebraic Combin.}, year = {2011}, volume = {33}, number = {2}, pages = {163--198}, publisher = {Springer}, doi = {10.1007/s10801-010-0238-4} } @Comment{jabref-meta: databaseType:bibtex;}