On the cohomology and their torsion of real toric objects

DOI10.1515/forum-2016-0025zbMath1377.57022arXiv1311.7056OpenAlexW2963361678MaRDI QIDQ524698

Suyoung Choi, Han Chul Park

Publication date: 3 May 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7056

zbMATH Keywords

real topological toric manifoldsmall covercohomology ringnestohedronodd torsionreal toric manifold

Mathematics Subject Classification ID

Finite transformation groups (57S17) Algebraic topology of manifolds (57N65) Combinatorial aspects of simplicial complexes (05E45)

Related Items (16)

Cellular chain complex of small covers with integer coefficients and its application ⋮ Geometric representations of finite groups on real toric spaces ⋮ Homotopy decomposition of a suspended real toric space ⋮ The cohomology rings of real toric spaces and smooth real toric varieties ⋮ On the \(KO\)-groups of toric manifolds ⋮ Graph invariants and Betti numbers of real toric manifolds ⋮ The Betti numbers of real toric varieties associated to Weyl chambers of type \(B\) ⋮ Torsions of 3-dimensional small covers ⋮ Wedge operations and doubling operations of real toric manifolds ⋮ Geometrically bounding 3-manifolds, volume and Betti numbers ⋮ Cohomology of a real toric variety and shellability of posets arising from a graph ⋮ The torsion of real toric manifolds ⋮ The cohomology rings of smooth toric varieties and quotients of moment-angle complexes ⋮ The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of TypesCandD ⋮ Orientable hyperbolic 4-manifolds over the 120-cell ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Wedge operations and torus symmetries
• Convex polytopes, Coxeter orbifolds and torus actions
• Nested complexes and their polyhedral realizations
• On the cohomology of torus manifolds
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• Faces of generalized permutohedra
• Intersections of quadrics, moment-angle manifolds and connected sums
• A new graph invariant arises in toric topology
• On products in a real moment-angle manifold
• Homotopy decomposition of a suspended real toric space
• Permutohedra, Associahedra, and Beyond
• THE GEOMETRY OF TORIC VARIETIES
• Topological toric manifolds
• Operations on polyhedral products and a new topological construction of infinite families of toric manifolds

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