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Cellular cochain algebras and torus actions

Ilia V. Baskakov·Victor M. Buchstaber·Taras E. Panov
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Abstract

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.

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Ilia V. Baskakov, Victor M. Buchstaber, Taras E. Panov. 2004-07-11. Cellular cochain algebras and torus actions. https://arxiv.org/abs/math/0407189

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