Cellular cochain algebras and torus actions
Algebraic Topology
2007-05-23 v1 Commutative Algebra
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.
Cite
@article{arxiv.math/0407189,
title = {Cellular cochain algebras and torus actions},
author = {Ilia V. Baskakov and Victor M. Buchstaber and Taras E. Panov},
journal= {arXiv preprint arXiv:math/0407189},
year = {2007}
}
Comments
3 pages