Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Naturality and functoriality in involutive Heegaard Floer homology   We prove first-order naturality of involutive Heegaard Floer homology, and
furthermore construct well-defined maps on involutive Heegaard Floer homology
associated to cobordisms between three-manifolds. We also prove analogous
naturality and functoriality results for involutive Floer theory for knots and
links. The proof relies on the doubling model for the involution, as well as
several variations.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph