Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing the orthogonal and unitary functor calculi   The orthogonal and unitary calculi give a method to study functors from the
category of real or complex inner product spaces to the category of based
topological spaces. We construct functors between the calculi from the
complexification-realification adjunction between real and complex inner
product spaces. These allow for movement between the versions of calculi, and
comparisons between the Taylor towers produced by both calculi. We show that
when the inputted orthogonal functor is weakly polynomial, the Taylor tower of
the functor restricted through realification and the restricted Taylor tower of
the functor agree up to weak equivalence. We further lift the homotopy level
comparison of the towers to a commutative diagram of Quillen functors relating
the model categories for orthogonal calculus and the model categories for
unitary calculus.

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The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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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: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con