Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tropical (1, 1)-homology for floor decomposed surfaces   The tropical (p, q)-homology groups of Itenberg, Katzarkov, Mikhalkin and
Zharkov are the tropical analogues of the Hodge decomposition of the cohomology
of complex algebraic varieties. There is a well-defined intersection pairing on
tropical (1, 1)-classes of a compact non-singular tropical surface. Here we
compute directly the (1, 1)-homology of a non-singular floor decomposed
tropical surface in tropical projective space, along with the intersection
form.

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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol