Superforms, Tropical Cohomology, and Poincar\'e Duality
Algebraic Geometry
2018-03-28 v3
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.
Keywords
Cite
@article{arxiv.1512.07409,
title = {Superforms, Tropical Cohomology, and Poincar\'e Duality},
author = {Philipp Jell and Kristin Shaw and Jascha Smacka},
journal= {arXiv preprint arXiv:1512.07409},
year = {2018}
}
Comments
32 pages. correction to signs in Section 4