Locally standard torus actions and sheaves over Buchsbaum posets

DOI10.1070/SM8782zbMath1394.57018arXiv1501.04768MaRDI QIDQ4603913

Anton A. Ayzenberg

Publication date: 23 February 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04768

zbMATH Keywords

manifolds with cornerssimplicial posetlocally standard actionZeeman-McCrory spectral sequence

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Sheaf cohomology in algebraic topology (55N30) Algebraic topology of manifolds (57N65) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)

Related Items (2)

Topological model for \(h^{\prime\prime}\) vectors of simplicial manifolds ⋮ Manifolds of isospectral arrow matrices

Cites Work

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• The fundamental group and Betti numbers of toric origami manifolds
• Locally standard torus actions and \(h'\)-numbers of simplicial posets
• Local torus actions modeled on the standard representation
• Convex polytopes, Coxeter orbifolds and torus actions
• On the cohomology of torus manifolds
• Socles of Buchsbaum modules, complexes and posets
• Zeeman's Filtration of Homology
• A class of torus manifolds with nonconvex orbit space
• Brief introduction to tropical geometry

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