Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Su, Changjian"'
In quantum field theory study, Grassmannian manifolds $\text{Gr}(4,n)$ are closely related to $D{=}4$ kinematics input for $n$-particle scattering processes, whose combinatorial and geometrical structures have been widely applied in studying conforma
Externí odkaz:
http://arxiv.org/abs/2409.05165
Autor:
Su, Changjian, Wang, Weiqiang
We provide a geometric realization of the quasi-split affine $\imath$quantum group of type AIII$_{2n-1}^{(\tau)}$ in terms of equivariant K-groups of non-connected Steinberg varieties of type C. This uses a new Drinfeld type presentation of this affi
Externí odkaz:
http://arxiv.org/abs/2407.06865
We prove a Pieri formula for motivic Chern classes of Schubert cells in the equivariant K-theory of Grassmannians, which is described in terms of ribbon operators on partitions. Our approach is to transform the Schubert calculus over Grassmannians to
Externí odkaz:
http://arxiv.org/abs/2402.04500
We use Kostant and Kumar's twisted group ring and its dual to formulate and prove a generalization of Nakada's colored hook formula for any Coxeter groups. For dominant minuscule elements of the Weyl group of a Kac--Moody algebra, this provides anoth
Externí odkaz:
http://arxiv.org/abs/2401.06516
We prove a Chevalley formula to multiply the motivic Chern classes of Schubert cells in a generalized flag manifold $G/P$ by the class of any line bundle $\mathcal{L}_\lambda$. Our formula is given in terms of the $\lambda$-chains of Lenart and Postn
Externí odkaz:
http://arxiv.org/abs/2312.17200
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 is a presentation of the torus-equivariant quantum cohomology in terms
Externí odkaz:
http://arxiv.org/abs/2304.07173
The equivariant motivic Chern class of a Schubert cell in a `complete' flag manifold $X=G/B$ is an element in the equivariant K theory ring of $X$ to which one adjoins a formal parameter $y$. In this paper we prove several `folklore results' about th
Externí odkaz:
http://arxiv.org/abs/2212.12509
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 number of reduced expressions of minuscule Weyl group elements. In this p
Externí odkaz:
http://arxiv.org/abs/2203.16461
Publikováno v:
In Advances in Mathematics April 2024 442
Publikováno v:
Alg. Number Th. 17 (2023) 169-198
We study classes determined by the Kazhdan-Lusztig basis of the Hecke algebra in the $K$-theory and hyperbolic cohomology theory of flag varieties. We first show that, in $K$-theory, the two different choices of Kazhdan-Lusztig bases produce dual bas
Externí odkaz:
http://arxiv.org/abs/2009.06595