Displaying similar documents to “Torus actions, equivariant moment-angle complexes, and coordinate-subspace arrangements.”

Moment-angle complexes from simplicial posets

Zhi Lü, Taras Panov (2011)

Open Mathematics

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We extend the construction of moment-angle complexes to simplicial posets by associating a certain T m-space Z S to an arbitrary simplicial poset S on m vertices. Face rings ℤ[S] of simplicial posets generalise those of simplicial complexes, and give rise to new classes of Gorenstein and Cohen-Macaulay rings. Our primary motivation is to study the face rings ℤ[S] by topological methods. The space Z S has many important topological properties of the original moment-angle complex Z K associated...

Cohomology, symmetry and perfection.

Emili Bifet (1992)

Publicacions Matemàtiques

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We explain the philosophy behind the computations in [BDP] and place them in a wider conceptual setting. We also outline, for toric varieties, the resulting equivalent approach to some key results in that theory.

Problem session.

Carlsson, Gunnar (2001)

Homology, Homotopy and Applications

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Equivariant algebraic topology

Sören Illman (1973)

Annales de l'institut Fourier

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Let G be a topological group. We give the existence of an equivariant homology and cohomology theory, defined on the category of all G -pairs and G -maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients. In the case that G is a compact Lie group we also define equivariant C W -complexes and mention some of their basic properties. The paper is a short abstract...