On free $Z_p$-torus actions in dimension two and three

Abstract

We confirm the Halperin-Carlsson Conjecture for free $Z_p$-torus actions (p is a prime) on 2-dimensional finite CW-complexes and free $Z_2$-torus actions on compact 3-manifolds.

arXiv comment26 pages, no figure. The contents of the paper are reorganized and some proofs are simplified