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Статья

Homology cycles in manifolds with locally standard torus actions

Homology, Homotopy and Applications. 2016. Vol. 18. No. 1. P. 1-23.

We describe the homology of a closed manifold Z[SQ]/ΘZ[SQ]/Θ. The intersection product in homology is described in terms of the product in the face ring and intersection products on the orbit space and on the torus. Manifolds with torus actions provide a topological interpretation for the results of Novik and Swartz concerning socles of Buchsbaum face rings.