Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients

By Adriano M. Garsia, Mark D. Haiman, Glenn Tesler. 2001

92 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ae349761f8e25d3896f5e710275b15e3d76ec231

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Eric M. Rains
2. Mark D. Haiman
3. V. Spiridonov
4. Alexei Borodin
5. I. Gordon
6. James Haglund
7. Thomas Lam
8. Tatsuyuki Hikita

Citations in the corpus

• Combinatorics, symmetric functions, and Hilbert schemes (2002, background): “Bergeron, Garsia, Tesler and I studied these operators in [7, 25].”
• $BC_n$-symmetric abelian functions (2004, background): “4 of [7], which expresses the corresponding binomial coefficients via the plethystic expression Pλ/μ([ 1 1− tk ]; q, t).”
• Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures) (2017, unknown): “We will use the modified Macdonald polynomials H̃μ[X; q, t], see [6,14].”