Koszul duality and equivariant cohomology for tori

DOI10.1155/S1073792803206103zbMath1050.55003arXivmath/0301083OpenAlexW1856411715MaRDI QIDQ4455345

Matthias Franz

Publication date: 16 March 2004

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301083

zbMATH Keywords

Koszul duality\(T\)-equivariant cohomologyBorel constructionCartan model

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Equivariant homology and cohomology in algebraic topology (55N91)

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Differential graded algebras, Steenrod cup-one products, binomial operations, and Massey products ⋮ Equivariant cohomology, syzygies and orbit structure ⋮ The cohomology rings of real toric spaces and smooth real toric varieties ⋮ Moment angle complexes and big Cohen-Macaulayness ⋮ The cohomology rings of homogeneous spaces ⋮ Positive links ⋮ The integral cohomology of toric manifolds ⋮ Equivariant cohomology and the Maurer-Cartan equation ⋮ On multilinear oscillatory integrals, nonsingular and singular

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