A Chevalley formula in equivariant $K$-theory
Algebraic Geometry
2007-05-23 v1
Authors:
Matthieu Willems
Abstract
The aim of this paper is to give a recursive formula to multiply a line bundle with the structure sheaf of a schubert variety in the equivariant K-theory of a flag variety.
Keywords
Cite
@article{arxiv.math/0603220,
title = {A Chevalley formula in equivariant $K$-theory},
author = {Matthieu Willems},
journal= {arXiv preprint arXiv:math/0603220},
year = {2007}
}
Related papers
View all related →
Algebraic Geometry · Mathematics
A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties
Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea, Nicolas Perrin
2017-06-12
Representation Theory · Mathematics
Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
Takafumi Kouno, Satoshi Naito, Daniel Orr, Daisuke Sagaki
2020-12-03
Representation Theory · Mathematics
A Pieri-Chevalley formula for K(G/B)
Harsh Pittie, Arun Ram
2007-05-23
Quantum Algebra · Mathematics
Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum $K$-group of partial flag manifolds
Takafumi Kouno, Satoshi Naito, Daisuke Sagaki
2020-05-05
Quantum Algebra · Mathematics
Equivariant $K$-theory of semi-infinite flag manifolds and Pieri-Chevalley formula
Syu Kato, Satoshi Naito, Daisuke Sagaki
2020-12-16
Combinatorics · Mathematics
A Chevalley formula for semi-infinite flag manifolds and quantum K-theory (Extended abstract)
Cristian Lenart, Satoshi Naito, Daisuke Sagaki
2019-12-02
Combinatorics · Mathematics
Quantum K-theory Chevalley formulas in the parabolic case
Takafumi Kouno, Cristian Lenart, Satoshi Naito, Daisuke Sagaki +5
2023-10-02
Representation Theory · Mathematics
Affine Weyl groups in K-theory and representation theory
Cristian Lenart, Alexander Postnikov
2007-05-23
Algebraic Geometry · Mathematics
A dual basis for the equivariant quantum $K$-theory of cominuscule varieties
Kevin Summers
2024-08-09
Algebraic Geometry · Mathematics
Chevalley formulae for the motivic Chern classes of Schubert cells and for the stable envelopes
Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su
2026-03-25
Algebraic Geometry · Mathematics
Equivariant quantum cohomology of homogeneous spaces
Leonardo Constantin Mihalcea
2007-05-23
Algebraic Geometry · Mathematics
Equivariant $K$-theory of flag varieties revisited and related results
V. Uma
2014-09-12
Combinatorics · Mathematics
Equivariant K-Chevalley Rules for Kac-Moody Flag Manifolds
Cristian Lenart, Mark Shimozono
2012-03-16
Algebraic Geometry · Mathematics
Equivariant K-theory of affine flag manifolds and affine Grothendieck polynomials
Masaki Kashiwara, Mark Shimozono
2019-12-19
Quantum Algebra · Mathematics
Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type
Cristian Lenart, Satoshi Naito, Daniel Orr, Daisuke Sagaki
2021-11-02
Algebraic Geometry · Mathematics
Quantum K theory for flag varieties
Sybille Rosset
2022-02-03
Algebraic Geometry · Mathematics
Chevalley-Monk formulas for bow varieties
Till Wehrhan
2025-04-02
Algebraic Topology · Mathematics
The equivariant cohomology of weighted flag orbifolds
Haniya Azam, Shaheen Nazir, Muhammad Imran Qureshi
2019-06-14
Representation Theory · Mathematics
A Pieri-Chevalley formula in the K-theory of a G/B-bundle
Harsh Pittie, Arun Ram
2007-05-23
Quantum Algebra · Mathematics
Quantum $K$-theoretic divisor axiom for flag manifolds
Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Leonardo C. Mihalcea +1
2025-11-03
Algebraic Geometry · Mathematics
K-theorie equivariante des varietes de Bott-Samelson. Application a la structure multiplicative de la K-theorie equivariante des varietes de drapeaux
Matthieu Willems
2007-05-23
K-Theory and Homology · Mathematics
K-theory of line bundles and smooth varieties
Christian Haesemeyer, Charles A. Weibel
2017-07-06
Algebraic Geometry · Mathematics
Cohomologie et $K$-theorie equivariantes des tours de Bott et des varietes de drapeaux. Application au calcul de Schubert
Matthieu Willems
2007-05-23
Algebraic Geometry · Mathematics
Equivariant quantum Schubert polynomials
Dave Anderson, Linda Chen
2015-06-10
Combinatorics · Mathematics
A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory
Cristian Lenart, Satoshi Naito, Daisuke Sagaki
2024-02-23