Multiplicative Aspects of the Halperin-Carlsson Conjecture
Algebraic Topology
2008-11-24 v1 Commutative Algebra
Abstract
We use the multiplicative structure of the Koszul resolution to give short and simple proofs of some known estimates for the total dimension of the cohomology of spaces which admit free torus actions and analogous results for filtered differential modules over polynomial rings. We also point out the possibility of improving these results in the presence of a multiplicative structure on the so-called minimal Hirsch-Brown model for the equivariant cohomology of the space.
Keywords
Cite
@article{arxiv.0811.3517,
title = {Multiplicative Aspects of the Halperin-Carlsson Conjecture},
author = {Volker Puppe},
journal= {arXiv preprint arXiv:0811.3517},
year = {2008}
}