Torus Actions and the Halperin-Carlsson Conjecture
Geometric Topology
2012-06-22 v1
Abstract
We give an affirmative answer to the Halperin-Carlsson conjecture for the homologically injective torus actions on closed manifolds. This class contains holomorphic torus actions on compact Kahler manifolds, torus actions on compact Riemannian flat manifolds.
Cite
@article{arxiv.1206.4790,
title = {Torus Actions and the Halperin-Carlsson Conjecture},
author = {Y. Kamishima and M. Nakayama},
journal= {arXiv preprint arXiv:1206.4790},
year = {2012}
}
Comments
11 pages