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arXiv · 1512.07409

Superforms, Tropical Cohomology, and Poincar\'e Duality

Philipp Jell·Kristin Shaw·Jascha Smacka
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Abstract

We establish a canonical isomorphism between two bigraded cohomology theories for polyhedral spaces: Dolbeault cohomology of superforms and tropical cohomology. Furthermore, we prove Poincar\'e duality for cohomology of tropical manifolds, which are polyhedral spaces locally given by Bergman fans of matroids.

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Philipp Jell, Kristin Shaw, Jascha Smacka. 2015-12-23. Superforms, Tropical Cohomology, and Poincar\'e Duality. https://arxiv.org/abs/1512.07409

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