Cellular cochain algebras and torus actions

Details Cellular cochain algebras and torus actions Cellular cochain algebras and torus actions

2004-07-11

arxiv.org/abs/math/0407189v1

Russian Math. Surveys 59 (2004), no. 3, 562-563

Mathematics

Algebraic Topology

3 pages

Scientific paper

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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