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arXiv · 2304.03936

The integral cohomology rings of four-dimensional toric orbifolds

Xin Fu·Tseleung So·Jongbaek Song
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Abstract

Let $X(P,\lambda)$ be a 4-dimensional toric orbifold associated to a polygon $P$ and a characteristic function $\lambda$. Assuming that $X(P,\lambda)$ is locally smooth over a vertex of $P$, we determine the integral cohomology ring $H^*(X(P,\lambda);\Z)$ by constructing an explicit basis and expressing the cup products of the basis elements in terms of $P$ and $\lambda$.

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Xin Fu, Tseleung So, Jongbaek Song. 2023-04-08. The integral cohomology rings of four-dimensional toric orbifolds. https://arxiv.org/abs/2304.03936

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