Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculus of the embedding functor and spaces of knots   We give an overview of how calculus of the embedding functor can be used for
the study of long knots and summarize various results connecting the calculus
approach to the rational homotopy type of spaces of long knots, collapse of the
Vassiliev spectral sequence, Hochschild homology of the Poisson operad, finite
type knot invariants, etc. Some open questions and conjectures of interest are
given throughout.

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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: cs