Defines sheaf-theoretic tropical homology with non-compact supports and proves it admits proper pushforwards, cross and cup products, projection formula, Künneth theorem, natural cycle class map, and Poincaré-Verdier duality on tropical manifolds.
Discrete Math
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A sheaf-theoretic approach to tropical homology
Defines sheaf-theoretic tropical homology with non-compact supports and proves it admits proper pushforwards, cross and cup products, projection formula, Künneth theorem, natural cycle class map, and Poincaré-Verdier duality on tropical manifolds.