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arXiv · 1012.2146

Cohomology rings of good contact toric manifolds

Shisen Luo
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Abstract

A good contact toric manifold $M$ is determined by its moment cone $C$. We compute the equivariant cohomology ring with $\Z$ coefficient of $M$ in terms of the combinatorial data of $C$. Then under a smoothness criterion on the cone $C$, we compute the singular cohomology ring with $\Z$ coefficient of $M$ in terms of the combinatorial data of $C$.

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Shisen Luo. 2010-12-10. Cohomology rings of good contact toric manifolds. https://arxiv.org/abs/1012.2146

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