21 citations · 37 across the 15 of their papers we have counts for
16 papers
Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology
Cristian Lenart, Krista Zehr, Changlong Zhong
This paper studies the KL-Schubert classes defined by Kazhdan-Lusztig bases in -theory and hyperbolic cohomology of flag varieties. We first establish Poincaré dualities of thes…
Combinatorial Aspects of Elliptic Schubert Calculus
Cristian Lenart, Rui Xiong, Changlong Zhong
The main goal of this paper is to extend two fundamental combinatorial results in Schubert calculus on flag manifolds from equivariant cohomology and -theory to equivariant elli…
Quantum -theoretic divisor axiom for flag manifolds
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We prove an identity for (torus-equivariant) 3-point, genus 0, -theoretic Gromov-Witten invariants of flag manifolds , which can be thought of as a replacement for the ``di…
Elliptic classes via the periodic Hecke module and its Langlands dual
Cristian Lenart, Gufang Zhao, Changlong Zhong
This paper explores a construction of the elliptic classes of the Springer resolution using the periodic Hecke module. The module is established by employing the Poincaré line bund…
Inverse -Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type
Cristian Lenart, Satoshi Naito, Daniel Orr +1
We continue the study, begun in [Kouno-Naito-Orr-Sagaki, 2021], of inverse Chevalley formulas for the equivariant -group of semi-infinite flag manifolds. Using the language of a…
Quantum K-theory Chevalley formulas in the parabolic case
Takafumi Kouno, Cristian Lenart, Satoshi Naito +3
We derive cancellation-free Chevalley-type multiplication formulas in the T-equivariant quantum K-theory of Grassmannians of type A and C, and also those of two-step flag manifolds…