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arXiv · 1003.5740

Small Cover and Halperin-Carlsson Conjecture

Li Yu
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Abstract

We prove that the Halperin-Carlsson conjecture holds for any free (Z_2)^m action on a compact manifold whose orbit space is a small cover. In addition, we show that if the total space of a principal (Z_2)^m bundle over a small cover is connected, it must be equivalent to a partial quotient of the corresponding real moment-angle manifold with some canonical Z_2-torus action.

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Li Yu. 2010-03-30. Small Cover and Halperin-Carlsson Conjecture. https://doi.org/10.2140/pjm.2012.256.489

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