Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Khovanov-Seidel quiver algebras and Ozsv\'ath-Szab\'o's bordered theory   We investigate a relationship between Ozsv\'ath and Szab\'o's bordered theory
and the algebras and bimodules constructed by Khovanov-Seidel. Specifically, we
show that (a variant of) a special case of Ozsv\'ath-Szab\'o's algebras has a
quotient which is isomorphic to the Khovanov-Seidel quiver algebra with
coefficients in $\mathbb{Z}/2\mathbb{Z}$. Furthermore, we show that after
induction and restriction of scalars, the dg bimodule over quiver algebras
associated to a crossing by Khovanov-Seidel is homotopy equivalent to
Ozsv\'ath-Szab\'o's DA bimodule for the crossing in this special case.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin