Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral algebra models of unstable v_n-periodic homotopy theory   We give a survey of a generalization of Quillen-Sullivan rational homotopy
theory which gives spectral algebra models of unstable v_n-periodic homotopy
types. In addition to describing and contextualizing our original approach, we
sketch two other recent approaches which are of a more conceptual nature, due
to Arone-Ching and Heuts. In the process, we also survey many relevant concepts
which arise in the study of spectral algebra over operads, including
topological Andr\'e-Quillen cohomology, Koszul duality, and Goodwillie
calculus.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn