The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials

DOI10.4171/EMSS/28zbMath1445.14038arXiv1712.01250MaRDI QIDQ1755916

Nicholas J. Proudfoot

Publication date: 11 January 2019

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01250

zbMATH Keywords

intersection cohomologyKazhdan-Lusztig

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Classical problems, Schubert calculus (14N15)

Related Items (11)

A combinatorial formula for Kazhdan-Lusztig polynomials of sparse paving matroids ⋮ The Equivariant Inverse Kazhdan--Lusztig Polynomials of Uniform Matroids ⋮ The contraction category of graphs ⋮ Essence of independence: Hodge theory of matroids since June Huh ⋮ Combinatorics and Hodge theory ⋮ A combinatorial formula for of \(\rho\)-removed uniform matroids ⋮ Equivariant incidence algebras and equivariant Kazhdan-Lusztig-Stanley theory ⋮ The inverse Kazhdan-Lusztig polynomial of a matroid ⋮ Stirling numbers in braid matroid Kazhdan-Lusztig polynomials ⋮ Kazhdan-Lusztig polynomials of matroids under deletion ⋮ Functorial invariants of trees and their cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities of Richardson varieties
• The Hodge theory of Soergel bimodules.
• Hard Lefschetz theorem for nonrational polytopes
• Remarks on the combinatorial intersection cohomology of fans
• Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities
• Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures
• The number of faces of a simplicial convex polytope
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Weights of exponential sums, intersection cohomology, and Newton polyhedra
• Abstract Kazhdan-Lusztig theories
• A flag Whitney number formula for matroid Kazhdan-Lusztig polynomials
• The \(Z\)-polynomial of a matroid
• Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures
• \(P\)-kernels, IC bases and Kazhdan-Lusztig polynomials
• Mirror duality and string-theoretic Hodge numbers
• Twisted incidence algebras and Kazhdan-Lusztig-Stanley functions
• Kazhdan-Lusztig polynomials of fan matroids, wheel matroids, and whirl matroids
• Configuration spaces, \(\mathrm{FS}^{\mathrm{op}}\)-modules, and Kazhdan-Lusztig polynomials of braid matroids
• The Kazhdan-Lusztig polynomial of a matroid
• Combinatorics of Coxeter Groups
• Rational intersection cohomology of projective toric varieties.
• Note on Independence Functions
• Intersection cohomology of hypertoric varieties
• The decomposition theorem, perverse sheaves and the topology of algebraic maps
• Subdivisions and Local h-Vectors
• An introduction to affine Grassmannians and the geometric Satake equivalence
• Hecke Algebras with Unequal Parameters
• Koszul Duality Patterns in Representation Theory

This page was built for publication: The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials