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The tropical (p, q)-homology groups of Itenberg, Katzarkov, Mikhalkin andZharkov are the tropical analogues of the Hodge decomposition of the cohomologyof complex algebraic varieties. There is a well-defined intersection pairing ontropical (1, 1)-classes of a compact non-singular tropical surface. Here wecompute directly the (1, 1)-homology of a non-singular floor decomposedtropical surface in tropical projective space, along with the intersectionform.

Tropical (1, 1)-homology for floor decomposed surfaces