activity
20042025
most citedDouble Schubert polynomials for the classical groups

60 citations · 353 across the 40 of their papers we have counts for

collaborators
Showing math.COShow all

5 papers · 1 filter

math.CO2022★ 2 cited

Hook formulae from Segre-MacPherson classes

Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su

Nakada's colored hook formula is a vast generalization of many important formulae in combinatorics, such as the classical hook length formula and the Peterson's formula for the num…

math.CO2014★ 5 cited

Factorial P- and Q-Schur functions represent equivariant quantum Schubert classes

Takeshi Ikeda, Leonardo C. Mihalcea, Hiroshi Naruse

We find presentations by generators and relations for the equivariant quantum cohomology rings of the maximal isotropic Grassmannians of types B,C and D, and we find polynomial rep…

math.CO2008★ 60 cited

Double Schubert polynomials for the classical groups

Takeshi Ikeda, Leonardo C. Mihalcea, Hiroshi Naruse

For each infinite series of the classical Lie groups of type B,C or D, we introduce a family of polynomials parametrized by the elements of the corresponding Weyl group of infinite…

math.CO2007★ 4 cited

Sums of binomial determinants, non-intersecting lattice paths and positivity of Chern-Schwartz-MacPherson classes

Leonardo Constantin Mihalcea

We give a combinatorial interpretation of a certain positivity conjecture of Chern-Schwartz-MacPherson classes, as stated by P. Aluffi and the author in a previous paper. It transl…

math.CO2005

Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

Leonardo Constantin Mihalcea

We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the e…