activity
20152023
most citedShadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells

48 citations · 136 across the 17 of their papers we have counts for

collaborators

17 papers

math.AG2023

Chevalley formulae for the motivic Chern classes of Schubert cells and for the stable envelopes

Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su

We prove a Chevalley formula to multiply the motivic Chern classes of Schubert cells in a generalized flag manifold by the class of any line bundle . Our formu…

math.AG2023

Automorphisms of the Quantum Cohomology of the Springer Resolution and Applications

Changzheng Li, Changjian Su, Rui Xiong

In this paper, we introduce quantum Demazure--Lusztig operators acting by ring automorphisms on the equivariant quantum cohomology of the Springer resolution. Our main application…

math.AG2022★ 5 cited

From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes

Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann +1

The equivariant motivic Chern class of a Schubert cell in a `complete' flag manifold is an element in the equivariant K theory ring of to which one adjoins a formal par…

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.AG2020

Geometric properties of the Kazhdan-Lusztig Schubert basis

Cristian Lenart, Changjian Su, Kirill Zainoulline +1

We study classes determined by the Kazhdan-Lusztig basis of the Hecke algebra in the -theory and hyperbolic cohomology theory of flag varieties. We first show that, in -theor…

math.AG2020★ 20 cited

Left Demazure-Lusztig operators on equivariant (quantum) cohomology and K theory

Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su

We study the Demazure-Lusztig operators induced by the left multiplication on partial flag manifolds . We prove that they generate the Chern-Schwartz-MacPherson classes of Sch…