On independent GKM-graphs without nontrivial extensions

DOI10.1007/s40590-023-00567-3arXiv2205.07197OpenAlexW4387894557MaRDI QIDQ6070437

Grigory Solomadin

Publication date: 21 November 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07197

zbMATH Keywords

torus actionGKM-theory

Mathematics Subject Classification ID

Partial orders, general (06A06) Equivariant homology and cohomology in algebraic topology (55N91) Simplicial sets and complexes in algebraic topology (55U10) Toric topology (57S12)

Cites Work

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• Torus actions of complexity one in non-general position
• On the cohomology of torus manifolds
• Torus graphs and simplicial posets
• Equivariant cohomology, Koszul duality, and the localization theorem
• 1-skeleta, Betti numbers, and equivariant cohomology
• GKM theory and Hamiltonian non-Kähler actions in dimension 6
• Upper bounds for the dimension of tori acting on GKM manifolds
• A GKM description of the equivariant cohomology ring of a homogeneous space
• Equivariant cohomology of torus orbifolds
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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