2 citations · 2 across the 6 of their papers we have counts for
14 papers
Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells
Neil J. Y. Fan, Peter L. Guo, Rui Xiong
We develop Pieri type as well as Murnaghan--Nakayama type formulas for equivariant Chern--Schwartz--MacPherson classes of Schubert cells in the classical flag variety. These formul…
Poincaré Polynomials of Odd Diagram Classes
Neil J. Y. Fan, Peter L. Guo
An odd diagram class is a set of permutations with the same odd diagram. Brenti, Carnevale and Tenner showed that each odd diagram class is an interval in the Bruhat order. They co…
Quantized cohomological Hall algebra of the -loop quiver revisited
Neil J. Y. Fan, Changjian Fu, Liangang Peng
Let be the set of partitions of length . We introduce an -graded algebra associated to , which can be viewed as a quantization of the…
An Involution on Semistandard Skyline Fillings
Neil J. Y. Fan, Peter L. Guo, Nicolas Y. Liu
Non-attacking skyline fillings were used by Haglund, Haiman and Loehr to establish a combinatorial formula for nonsymmetric Macdonald polynomials. Semistandard skyline fillings are…
Inversion arrangements and the weak Bruhat order
Neil J. Y. Fan
For each permutation , we can construct a collection of hyperplanes according to the inversions of , which is called the inversion hyperplane arrangement asso…
Lattice Points in the Newton Polytopes of Key Polynomials
Neil J. Y. Fan, Peter L. Guo, Simon C. Y. Peng +1
We confirm a conjecture of Monical, Tokcan and Yong on a characterization of the lattice points in the Newton polytopes of key polynomials.