A proof of the q, t-Catalan positivity conjecture

We present here a proof that a certain rational function Cn(q, t) which has come to be known as the "q, t-Catalan" is in fact a polynomial with positive integer coefficients. This has been an open problem since 1994. The precise form of the conjecture is given in the J. Algebraic Combin. 5 (1996), no. 3, 191

• Type: Journal
• Year: 2002
• Where: DM
• Authors: Adriano M. Garsia, James Haglund
• Keywords: Certain Rational Function, DM 2002, Open Problem, Positive Integer Coefficients