Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes

DOI10.1007/s11856-014-1052-9zbMath1305.52027arXiv1305.1752OpenAlexW3098062974MaRDI QIDQ466112

Tobias Finis, Erez M. Lapid

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1752

zbMATH Keywords

hyperplane arrangementsCoxeter arrangementscombinatorially defined complexes

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial complexity of geometric structures (52C45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectral side of Arthur's trace formula -- absolute convergence
• On the spectral side of Arthur's trace formula -- combinatorial setup
• The algebra of continuous piecewise polynomials
• Combinatorics and topology of complements of hyperplanes
• Fiber polytopes
• Coxeter arrangements are hereditarily free
• Equivariant sheaves and functors
• Free arrangements and relation spaces
• The structure of the polytope algebra
• Discriminantal arrangements, fiber polytopes and formality
• Equivariant cohomology, Koszul duality, and the localization theorem
• The largest intersection lattice of a discriminantal arrangement
• Equivariant de Rham theory and graphs
• Monotone paths on polytopes
• On the topology of the Baues poset of polyhedral subdivisions
• Projections of polytopes and the generalized Baues conjecture
• Intertwining operators and residues. I: Weighted characters
• 1-skeleta, Betti numbers, and equivariant cohomology
• The existence of generating families for the cohomology ring of a graph
• Higher Bruhat orders and cyclic hyperplane arrangements
• Extension spaces of oriented matroids
• Combinatorial theory.
• Orlik-Solomon algebras in algebra and topology
• Catalan numbers for complex reflection groups
• Introduction to Toric Varieties. (AM-131)
• Essential Chains and Homotopy Type of Posets
• Cellular Strings on Polytopes
• A Note on Discriminantal Arrangements
• Lectures on Polytopes
• Iterated fiber polytopes
• The adjoint representation of a reductive group and hyperplane arrangements
• Zonotopal subdivisions of cyclic zonotopes
• Zonotopes associated with higher Bruhat orders
• On the refinements of a polyhedral subdivision