On the Stiefel-Whitney classes of GKM manifolds

MaRDI QIDQ6600682

Leopold Zoller, Oliver Goertsches, Panagiotis Konstantis

Publication date: 10 September 2024

Published in: Comptes Rendus Mathématiques de l'Académie des Sciences (Search for Journal in Brave)

zbMATH Keywords

equivariant cohomologyGKM theory(equivariant) Stiefel-Whitney classesrealizability of GKM graphs

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Characteristic classes and numbers in differential topology (57R20) Equivariant homology and cohomology in algebraic topology (55N91) Toric topology (57S12)

Cites Work

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• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
• Equivariant cohomology, Koszul duality, and the localization theorem
• 1-skeleta, Betti numbers, and equivariant cohomology
• Non-negatively curved GKM orbifolds
• Syzygies in equivariant cohomology in positive characteristic
• GKM theory and Hamiltonian non-Kähler actions in dimension 6
• Topological Schur lemma and related results
• Equivariant algebraic topology
• Equivariant bundles with abelian structural group

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