Using a cap product, we construct an explicit Poincaré duality isomorphism between the blown-up intersection cohomology and the Borel–Moore intersection homology, for any commutative ring of coefficients and second-countable, oriented pseudomanifolds.

中文翻译：

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庞加莱对偶，盖帽乘积和波雷尔-莫恩相交同源性

使用上限乘积，对于系数的任何可交换环和第二可数定向伪流形，我们在爆炸相交同调与Borel-Moore相交同构之间构造了明确的庞加莱对偶同构。