Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological actions on sutured Floer homology   We define the action of the homology group $H_1(M,\partial M)$ on the sutured
Floer homology $SFH(M,\gamma)$. It turns out that the contact invariant
$EH(M,\gamma,\xi)$ is usually sent to zero by this action. This fact allows us
to refine an earlier result proved by Ghiggini and the author. As a corollary,
we classify knots in $#^n(S^1\times S^2)$ which have simple knot Floer homology
groups: They are essentially the Borromean knots.

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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat