Jell, Philipp and Shaw, Kristin and Smacka, Jascha (2019) Superforms, tropical cohomology, and Poincare duality. ADVANCES IN GEOMETRY, 19 (1). pp. 101-130. ISSN 1615-715X, 1615-7168
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We establish a canonical isomorphism between two bigraded cohomology theories for polyhedral spaces: Dolbeault cohomology of superforms and tropical cohomology. Furthermore, we prove Poincare duality for cohomology of tropical manifolds, which are polyhedral spaces locally given by Bergman fans of matroids.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Polyhedral complex; cohomology; tropical manifold; Poincare duality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Klaus Künnemann Mathematics > Prof. Dr. Walter Gubler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Apr 2020 05:25 |
| Last Modified: | 28 Apr 2020 05:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27903 |
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