Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Squaring operations in the $RO(C_2)$-graded and real motivic Adams
  spectral sequences   In this paper we establish a formula for computing $d_2(sq^i(x))$ where $x$
is a permanent cycle in the $C_2$-equivariant Adams spectral sequence or the
motivic Adams spectral sequence over $Spec(\mathbb{R})$.
  This requires establishing that the Adams towers have an
$H_{\infty}$-structure as well as determining the attaching maps for
$C_2$-equivariant projective spaces.
  The attaching maps of $C_2$-equivariant projective spaces can then be used to
determine the coefficients of differentials in both the equivariant and motivic
case.
  At the end some sample computations are given.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys