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arXiv · 1604.03138

Torsion in the cohomology of torus orbifolds

Hideya Kuwata·Mikiya Masuda·Haozhi Zeng
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Abstract

We study torsion in the integral cohomology of a certain family of $2n$-dimensional orbifolds $X$ with actions of the $n$-dimensional compact torus. Compact simplicial toric varieties are in our family. For a prime number $p$, we find a necessary condition for the integral cohomology of $X$ to have no $p$-torsion. Then we prove that the necessary condition is sufficient in some cases. We also give an example of $X$ which shows that the necessary condition is not sufficient in general.

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Hideya Kuwata, Mikiya Masuda, Haozhi Zeng. 2016-04-11. Torsion in the cohomology of torus orbifolds. https://arxiv.org/abs/1604.03138

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