Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Models For The Maclaurin Tower Of A Simplicial Functor Via A Derived
  Yoneda Embedding   We prove that the Goodwillie tower of a weak equivalence preserving functor
from spaces to spectra can be expressed in terms of the tower for stable
mapping spaces. Our proof is motivated by interpreting the functors P_n and D_n
as pseudo-differential operators which suggests certain `integral'
presentations based on a derived Yoneda embedding. These models allow one to
extend computational tools available for the tower of stable mapping spaces. As
an application we give a classical expression for the derivative over the
basepoint.

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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th