4 citations · 4 across the 1 of their papers we have counts for
3 papers
math.CO2003★ 4 cited
A Combinatorial Formula for the Character of the Diagonal Coinvariants
J. Haglund, M. Haiman, N. Loehr +2
Let R_n be the ring of coinvariants for the diagonal action of the symmetric group S_n. It is known that the character of R_n as a doubly-graded S_n module can be expressed using t…
math.AG2002
Multigraded Hilbert Schemes
Mark Haiman, Bernd Sturmfels
We introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hilbert function in a polynomial ring that is graded by any abelian group. Our con…
math.AG2000
Hilbert schemes, polygraphs, and the Macdonald positivity conjecture
Mark Haiman
We study the isospectral Hilbert scheme X_n, defined as the reduced fiber product of C^2n with the Hilbert scheme H_n of points in the plane, over the symmetric power S^n C^2. We p…