Cellular cochain algebras and torus actions

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.

arXiv comment3 pages

Cited by in corpus (2)

• Categorical aspects of toric topology
• The Cohomology Algebra of Polyhedral Product Objects