Connected sums of simplicial complexes and equivariant cohomology

zbMath1318.55007arXiv1112.0157MaRDI QIDQ2251170

W. Frank Moore, Tomoo Matsumura

Publication date: 11 July 2014

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0157

zbMATH Keywords

simplicial complexconnected sumequivariant cohomology

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Equivariant homology and cohomology in algebraic topology (55N91) Symplectic geometry, contact geometry (53D99) Quadratic and Koszul algebras (16S37) Topology and geometry of orbifolds (57R18)

Related Items (3)

Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Connected sums of graded Artinian Gorenstein algebras and Lefschetz properties ⋮ Small simplicial complexes with prescribed torsion in homology

Cites Work

• Moment angle complexes and big Cohen-Macaulayness
• Convex polytopes, Coxeter orbifolds and torus actions
• Exact cohomology sequences with integral coefficients for torus actions
• Non-starshaped spheres
• Cohomology rings of symplectic cuts
• Connected sums of Gorenstein local rings
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
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