Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic model for rational S^1-equivariant stable homotopy theory   Greenlees defined an abelian category A whose derived category is equivalent
to the rational S^1-equivariant stable homotopy category whose objects
represent rational S^1-equivariant cohomology theories. We show that in fact
the model category of differential graded objects in A (dgA) models the whole
rational S^1-equivariant stable homotopy theory. That is, we show that there is
a Quillen equivalence between dgA and the model category of rational
S^1-equivariant spectra, before the quasi-isomorphisms or stable equivalences
have been inverted. This implies that all of the higher order structures such
as mapping spaces, function spectra and homotopy (co)limits are reflected in
the algebraic model. The new ingredients here are certain Massey product
calculations and the work on rational stable model categories from
"Classification of stable model categories" and "Equivalences of monoidal model
categories" with Schwede. In an appendix we show that Toda brackets, and hence
also Massey products, are determined by the triangulated derived category.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat