Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Picard group of the category of $C_n$-equivariant stable homotopy
  theory   For a finite group $G$, there is a map $RO(G) \to {\rm Pic}(Sp^G)$ from the
real representation ring of $G$ to the Picard group of $G$-spectra. This map is
not known to be surjective in general, but we prove that when $G$ is cyclic
this map is indeed surjective and in that case we describe ${\rm Pic}(Sp^G)$
explicitly. We also show that for an arbitrary finite group $G$ homology and
cohomology with coefficients in a cohomological Mackey functor do not see the
part of ${\rm Pic}(Sp^G)$ coming from the Picard group of the Burnside ring.
Hence these homology and cohomology calculations can be graded on a smaller
group.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys