Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathrm{Pin}(2)$-Monopole Floer homology and the Rokhlin invariant   We show that the bar version of the $\mathrm{Pin}(2)$-monopole Floer homology
of a three-manifold $Y$ equipped with a self-conjugate spin$^c$ structure
$\mathfrak{s}$ is determined by the triple cup product of $Y$ together with the
Rokhlin invariants of the spin structures inducing $\mathfrak{s}$. This is a
manifestation of mod $2$ index theory, and can be interpreted as a
three-dimensional counterpart of Atiyah's classic results regarding spin
structures on Riemann surfaces.

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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin