Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Cycles, cocycles, and duality on tropical manifolds
HTML articles powered by AMS MathViewer

by Andreas Gross and Farbod Shokrieh PDF
Proc. Amer. Math. Soc. 149 (2021), 2429-2444 Request permission


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.
Similar Articles
Additional Information
  • Andreas Gross
  • Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
  • MR Author ID: 1105426
  • Email:
  • Farbod Shokrieh
  • Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
  • MR Author ID: 917599
  • ORCID: 0000-0002-6815-3420
  • Email:
  • Received by editor(s): September 11, 2020
  • Received by editor(s) in revised form: December 8, 2020
  • Published electronically: March 26, 2021
  • Communicated by: Rachel Pries
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 2429-2444
  • MSC (2020): Primary 14T10, 14C17, 05B35, 52B99
  • DOI:
  • MathSciNet review: 4246795