Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemann-Roch theorems in monoidal 2-categories   We prove a generalized 2-categorical Riemann-Roch theorem that recovers those
of Shklyarov and Petit as well as spectral generalizations. The theorem is a
compatibility result between traces and pairings under certain 2-categorical
dualizability and compactness conditions. One can view the result as an
instantiation of a 2-dimensional generalized cobordism hypothesis. This
continues the authors' program of recognizing structural results about
Hochschild homology as arising quite generally from traces in 2-category
theory.

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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: comp-gas