Tropical Poincaré duality spaces

DOI10.1515/advgeom-2023-0017arXiv2112.03680OpenAlexW2991468919MaRDI QIDQ6176262

Edvard Aksnes

Publication date: 22 August 2023

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.03680

zbMATH Keywords

tropical manifoldpolyhedral fantropical Poincaré duality

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15)

Related Items

A sheaf-theoretic approach to tropical homology ⋮ Tropical Poincaré duality spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hodge spaces of real toric varieties
• The structure of the polytope algebra
• Hodge theory for combinatorial geometries
• A tropical approach to a generalized Hodge conjecture for positive currents
• Superforms, tropical cohomology, and Poincaré duality
• Cellular sheaf cohomology in polymake
• A homology theory for tropical cycles on integral affine manifolds and a perfect pairing
• Tropical geometry of matroids
• Tropical homology
• Intersection theory on toric varieties
• The Bergman complex of a matroid and phylogenetic trees
• Lefschetz (1,1)-theorem in tropical geometry
• Tropical Eigenwave and Intermediate Jacobians
• The Orlik-Solomon Algebra and the Bergman Fan of a Matroid
• Brief introduction to tropical geometry
• Tropical Poincaré duality spaces