paper

Torus Actions and the Halperin-Carlsson Conjecture

arXiv:1206.4790

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.

11 pages

Torus Actions and the Halperin-Carlsson Conjecture · wovepaper