Symmetric group actions on the cohomology of configurations in \(\mathbb R^d\).

DOI10.4171/RLM/569zbMath1229.20009arXiv0909.4877MaRDI QIDQ991044

Giovanni Gaiffi, Giacomo D'Antonio

Publication date: 2 September 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4877

zbMATH Keywords

configuration spacesrepresentations of symmetric groups

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)

Related Items (2)

Trimming the permutahedron to extend the parking space ⋮ On configuration spaces and Whitehouse's lifts of the Eulerian representations

Cites Work

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• The homology of iterated loop spaces
• The actions of \(S_{n+1}\) and \(S_ n\) on the cohomology ring of a Coxeter arrangement of type \(A_{n-1}\)
• The cohomology ring of the colored braid group
• Wonderful models of subspace arrangements
• Orlik-Solomon algebras in algebra and topology
• On the Poincaré Series Associated with Coxeter Group Actions on Complements of Hyperplanes
• On cohomology algebras of complex subspace arrangements
• Operads and moduli spaces of genus $0$ Riemann surfaces
• Equivariant cohomology of configurations in \(\mathbb{R}^d\).
• The cohomology rings of complements of subspace arrangements
• The cohomology algebra of the complement of a finite family of affine subspaces in an affine space. (L'algèbre de cohomologie du complément, dans un espace affine, d'une famille finie de sous-espaces affines).

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