Moment angle complexes and big Cohen-Macaulayness

DOI10.2140/agt.2014.14.379zbMath1288.55003arXiv1205.1566OpenAlexW1969517764MaRDI QIDQ390355

Shisen Luo, W. Frank Moore, Tomoo Matsumura

Publication date: 8 January 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1566

zbMATH Keywords

orbifoldequivariant cohomologytorus actionsintegral cohomologyCohen-Macauleytoric orbifolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Equivariant homology and cohomology in algebraic topology (55N91) Momentum maps; symplectic reduction (53D20) Topology and geometry of orbifolds (57R18)

Related Items (4)

On problems concerning moment-angle complexes and polyhedral products ⋮ Equivariant cohomology for Hamiltonian torus actions on symplectic orbifolds ⋮ Connected sums of simplicial complexes and equivariant cohomology ⋮ Equivariant cohomology of moment-angle complexes with respect to coordinate subtori

Cites Work

• Group actions on stacks and applications
• On quasitoric orbifolds
• Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds
• Convex polytopes, Coxeter orbifolds and torus actions
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• Equivariant cohomology for Hamiltonian torus actions on symplectic orbifolds
• The integral cohomology of toric manifolds
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• The orbifold Chow ring of toric Deligne-Mumford stacks
• Orbifold cohomology of abelian symplectic reductions and the case of weighted projective spaces
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• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• Localization in equivariant intersection theory and the Bott residue formula
• Koszul duality and equivariant cohomology for tori
• Cellular cochain algebras and torus actions
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