Macdonald polynomials and algebraic geometry

expositions

Haiman, MacDonald Polynomials and Geometry
Garsia, Adriano, and Jeffrey B. Remmel. 2005. “Breakthroughs in the Theory of Macdonald Polynomials.” Proceedings of the National Academy of Sciences of the United States of America 102 (11): 3891–3894. doi:10.1073/pnas.0409705102. http://www.pnas.org/content/102/11/3891.full

Brendon Rhoades, Ordered set partition statistics and the Delta Conjecture, arXiv:1605.04007 [math.CO], May 12 2016, http://arxiv.org/abs/1605.04007
Gordon, I. G. “Macdonald Positivity via the Harish-Chandra D-Module.” Inventiones Mathematicae 187, no. 3 (June 8, 2011): 637–43. doi:10.1007/s00222-011-0339-2.
Haglund, J., M. Haiman, N. Loehr, and Richard V. Kadison. “Combinatorial Theory of Macdonald Polynomials I: Proof of Haglund’s Formula.” Proceedings of the National Academy of Sciences of the United States of America 102, no. 8 (February 22, 2005): 2690–96.
Haglund, J., M. Haiman, and N. Loehr. “A Combinatorial Formula for Macdonald Polynomials.” Proceedings of the National Academy of Sciences 101, no. 46 (November 16, 2004): 16127–31. doi:10.1073/pnas.0405567101.
Haglund, J. “A Combinatorial Model for the Macdonald Polynomials.” Proceedings of the National Academy of Sciences of the United States of America 101, no. 46 (2004): 16127–31. doi:10.1073/pnas.0405567101.