Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unwinding the relative Tate diagonal   We show that a spectral sequence developed by Lipshitz and Treumann, for
application to Heegaard Floer theory, converges to a localized form of
topological Hochschild homology with coefficients. This allows us to show that
the target of this spectral sequence can be identified with Hochschild homology
when the topological Hochschild homology is torsion-free as a module over
$\mathrm{THH}_*(\mathbb{F}_2)$, parallel to results of Mathew on degeneration
of the Hodge-to-de Rham spectral sequence. To carry this out, we apply work of
Nikolaus-Scholze to develop a general Tate diagonal for Hochschild-like
diagrams of spectra that respect a decomposition into tensor products. This
allows us to discuss the extent to which there can be a Tate diagonal for
relative topological Hochschild homology.

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The categories of this paper are: hep-th
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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: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: bayes-an