Cellular cochain algebras and torus actions

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We prove that the integral cohomology algebra of the moment-angle complex Z_K, or of the corresponding coordinate subspace arrangement complement U(K), is isomorphic to the Tor-algebra of the face ring Z[K] of simplicial complex K.
3 pages

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Algebraic Topology, Commutative Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/96503

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407189
 http://arxiv.org/abs/math/0407189
 Russian Math. Surveys 59 (2004), no. 3, 562-563

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arXiv