Cycles, cocycles, and duality on tropical manifolds

Gross, Andreas; Shokrieh, Farbod

doi:10.1090/proc/15468

Cycles, cocycles, and duality on tropical manifolds
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by Andreas Gross and Farbod Shokrieh PDF

Proc. Amer. Math. Soc. 149 (2021), 2429-2444 Request permission

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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