%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @article{lltcombe, Author = {Alexandersson, P. and Sulzgruber, R.}, Eprint = {2004.09198}, Eprinttype = {arXiv}, Title = {A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions}, Year = {2020}} @article{kschurcomb, Author = {Blasiak, J. and Morse, J. and Pun, A. and Summers, D.}, Journal = {J. Amer. Math. Soc.}, Page = {921--963}, Title = {Catalan functions and k-Schur positivity}, Volume = {32}, Year = {2019}} @article{shuffle, Author = {Carlsson, E. and Mellit, A.}, Journal = {J. Amer. Math. Soc.}, Page = {661--697}, Title = {A proof of the shuffle conjecture}, Volume = {31}, Year = {2018}} @article{extendedchromysym, Author = {Crew, L. and Spirkl, S.}, Journal = {Eur. J. Comb.}, Title = {A deletion-contraction relation for the chromatic symmetric function}, Volume = {89}, Year = {2020}} @article{lltpos, Author = {Grojnowski, I. and Haiman, M.}, Title = {Affine Hecke algebras and positivity of LLT and Macdonald polynomials}, Year = {2007}} @article{combmacdonald, Author = {Haglund, J. and Haiman, M. and Loehr, N.}, Journal = {J. Amer. Math. Soc.}, Pages = {735--761}, Title = {A combinatorial formula for Macdonald polynomials}, Volume = {18}, Year = {2005}} @article{cdm, Author = {Haiman, M.}, Journal = {International Press Books}, Page = {39--112}, Title = {Combinatorics, symmetric functions and Hilbert schemes}, Year = {2003}} @article{lltunicellschur, Author = {Huh, J. and Nam, S. and Yoo, M.}, Eprint = {1812.03445}, Eprinttype = {arXiv}, Title = {Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials}, Year = {2018}} @article{kschurfirst, Author = {Lapointe, L. and Lascoux, A. and Morse, J.}, Journal = {Duke Math. J.}, Title = {Tableau atoms and a new Macdonald positivity conjecture}, Volume = {116}, Pages = {103--146}, Year = {2003}} @article{lltoriginal, Author = {Lascoux, A. and Leclerc, B. and Thibon, J-Y.}, Journal = {J. Math. Phys.}, Pages = {1041--1068}, Title = {Ribbon tableaux, Hall--Littlewood functions, quantum affine algebras, and unipotent varieties}, Volume = {38}, Year = {1997}} @article{lrkl, Author = {Leclerc, B. and Thibon, J-Y.}, Journal = {Adv. Stud. Pure Math.}, Pages = {155--220}, Title = {Littlewood--Richardson coefficients and Kazhdan--Lusztig polynomials}, Volume = {28}, Year = {2000}} @article{chromquasihessenberg, Author = {Shareshian, J. and Wachs, M.}, Journal = {Configuration Spaces}, Pages = {433--460}, Title = {Chromatic quasisymmetric functions and Hessenberg varieties}, Volume = {14}, Year = {2012}} @article{caterpillarllt, Author = {Tom, F.}, Journal = {Comb. Theory}, Title = {A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials}, Volume = {1}, Year = {2021}} @article{determinedgraph, Author = {Tom, F.}, Eprint = {2110.07984}, Eprinttype = {arXiv}, Title = {A horizontal-strip LLT polynomial is determined by its weighted graph}, Year = {2021}}