Abstract:We prove a Poincaré duality for the Chow rings of smooth fans whose support are tropical linear spaces. As a consequence, we show that cycles and cocycles on tropical manifolds are Poincaré dual to each other. This allows us to define pull-backs of tropical cycles along arbitrary morphisms with smooth target.

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中文翻译：

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热带流形上的循环，cocycles和对偶

摘要：我们证明了支持热带线性空间的光滑风扇的Chow环具有Poincaré对偶性。结果，我们证明了热带流形上的周期和联合循环是庞加莱互为对偶的。这使我们可以定义具有平滑目标的热带沿任意形态的回撤。

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