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arXiv · 1910.04805

Cycles, cocycles, and duality on tropical manifolds

Andreas Gross·Farbod Shokrieh
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Abstract

We prove a Poincar\'e 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 Poincar\'e dual to each other. This allows us to define pull-backs of tropical cycles along arbitrary morphisms with smooth target.

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Andreas Gross, Farbod Shokrieh. 2019-10-10. Cycles, cocycles, and duality on tropical manifolds. https://doi.org/10.1090/proc%2F15468

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