Torus Actions and the Halperin-Carlsson Conjecture
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keywords
actionstorusmanifoldscompactconjecturehalperin-carlssonaffirmativeanswer
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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.
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