Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The homology of the little disks operad   In this expository paper we give an elementary, hands-on computation of the
homology of the little disks operad, showing that the homology of a $d-fold
loop space is a Poisson algebra. One aim is to familiarize a greater audience
with Euclidean configuration spaces, using tools accessible to second-year
graduate students. We also give a brief introduction to the theory of operads.
New results include identifying the pairing between homology and cohomology of
these spaces as a pairing of graphs and trees, and treating the cooperad
structure on cohomology.

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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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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: hep-th
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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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: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an