Geometric properties of the Kazhdan-Lusztig Schubert basis
DOI10.2140/ant.2023.17.435OpenAlexW4360838580MaRDI QIDQ2691618
Changlong Zhong, Cristian Lenart, Changjian Su, Kirill Zainoulline
Publication date: 29 March 2023
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06595
Schubert calculus\(K\)-theoryflag varietyHecke algebrahyperbolic cohomologyKazhdan-Lusztig Schubert basis
Hecke algebras and their representations (20C08) Algebraic combinatorics (05E99) Grassmannians, Schubert varieties, flag manifolds (14M15) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Equivariant (K)-theory (19L47)
Cites Work
- Unnamed Item
- Unnamed Item
- A coproduct structure on the formal affine Demazure algebra
- Equivariant oriented cohomology of flag varieties
- Formal Hecke algebras and algebraic oriented cohomology theories.
- Restriction formula for stable basis of the Springer resolution
- Small resolutions of singularities of Schubert varieties
- Hodge modules, equivariant \(K\)-theory and Hecke algebras
- On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
- Representations of Coxeter groups and Hecke algebras
- Chern classes for singular algebraic varieties
- Chern numbers for singular varieties and elliptic homology.
- Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras
- The nil Hecke ring and singularity of Schubert varieties
- Inductive construction of stable envelopes
- Elliptic classes of Schubert varieties
- Push-pull operators on the formal affine Demazure algebra and its dual
- A Schubert basis in equivariant elliptic cohomology
- Casselman’s Basis of Iwahori Vectors and the Bruhat Order
- Geometry of Moduli Spaces and Representation Theory
- Characteristic classes of mixed Hodge modules
- On the K-theory stable bases of the Springer resolution
- Algebraic Cobordism
- HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
- Chern Classes and Transversality for Singular Spaces
- Motivic Chern classes and K‐theoretic stable envelopes
- Left Demazure–Lusztig Operators on Equivariant (Quantum) Cohomology and K-Theory
- Elliptic classes of Schubert varieties via Bott–Samelson resolution
- Elliptic stable envelopes
- Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds
This page was built for publication: Geometric properties of the Kazhdan-Lusztig Schubert basis