Graph equivariant cohomological rigidity for GKM graphs

DOI10.3792/pjaa.95.107zbMath1442.55006arXiv1710.08264OpenAlexW2767138750MaRDI QIDQ2190659

Matthias Franz, Hitoshi Yamanaka

Publication date: 21 June 2020

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08264

zbMATH Keywords

GKM graphequivariant cohomological rigiditygraph equivariant cohomology

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91)

Related Items (5)

GKM theory and Hamiltonian non-Kähler actions in dimension 6 ⋮ Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions ⋮ GKM manifolds are not rigid ⋮ On the sign ambiguity in equivariant cohomological rigidity of GKM graphs ⋮ Reconstructing the orbit type stratification of a torus action from its equivariant cohomology

Cites Work

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• On the cohomology of torus manifolds
• Exact cohomology sequences with integral coefficients for torus actions
• Torus graphs and simplicial posets
• Equivariant cohomology distinguishes toric manifolds
• Equivariant cohomology, Koszul duality, and the localization theorem
• Equivariant de Rham theory and graphs

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