Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tautological cycles on tropical Jacobians   The classical Poincar\'e formula relates the rational homology classes of
tautological cycles on a Jacobian to powers of the class of Riemann theta
divisor. We prove a tropical analogue of this formula. Along the way, we prove
several foundational results about real tori with integral structures (and,
therefore, tropical abelian varieties). For example, we prove a tropical
version of the Appell-Humbert theorem. We also study various notions of
equivalences between tropical cycles and their relation to one another.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex