Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $P_2^1$ Margolis homology of connective topological modular forms   The element $P_2^1$ of the mod 2 Steenrod algebra has the property
$(P_2^1)^2=0$. This property allows one to view $P_2^1$ as a differential on
$H_*(X, \mathbb{F}_2)$ for any spectrum $X$. Homology with respect to this
differential, $\mathcal{M}(X, P_2^1)$, is called the $P_2^1$ Margolis homology
of $X$. In this paper we give a complete calculation of the $P_2^1$ Margolis
homology of the 2-local spectrum of topological modular forms $tmf$ and
identify its $\mathbb{F}_2$ basis via an iterated algorithm. We apply the same
techniques to calculate $P_2^1$ Margolis homology for any smash power of $tmf$.

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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol