The Orlik-Terao Algebra and the Cohomology of Configuration Space

DOI10.1080/10586458.2016.1187097zbMath1373.52030arXiv1603.01189OpenAlexW2963221106MaRDI QIDQ4976192

Daniel Moseley, Nicholas J. Proudfoot, Ben Young

Publication date: 27 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01189

zbMATH Keywords

configuration spacesymmetric grouphyperplane arrangement

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Configurations and arrangements of linear subspaces (14N20) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (5)

A type \(B\) analog of the Whitehouse representation ⋮ \({\Delta}\)-algebra and scattering amplitudes ⋮ On configuration spaces and Whitehouse's lifts of the Eulerian representations ⋮ Eulerian representations for real reflection groups ⋮ A type \(B\) analog of the Whitehouse representation

Cites Work

• Modular decomposition of the Orlik-Terao algebra
• Homological stability for configuration spaces of manifolds
• The equivariant Orlik-Solomon algebra
• The Orlik-Terao algebra and 2-formality
• Algebras generated by reciprocals of linear forms
• FI-modules and stability for representations of symmetric groups
• The hypertoric intersection cohomology ring
• On the Gorensteinness of broken circuit complexes and Orlik-Terao ideals
• Broken circuit complexes and hyperplane arrangements
• The entropic discriminant
• Intersection cohomology and quantum cohomology of conical symplectic resolutions
• Group actions on arrangements of linear subspaces and applications to configuration spaces
• Intersection cohomology of hypertoric varieties
• A survey of hypertoric geometry and topology
• Commutative algebras for arrangements
• Koszul Duality Patterns in Representation Theory

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