Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pullbacks of $\kappa$ classes on $\overline{\mathcal{M}}_{0,n}$   The moduli space $\overline{\mathcal{M}}_{0,n}$ carries a codimension-$d$
cycle class $\kappa_{d}$. We consider the subspace $\mathcal{K}^{d}_{n}$ of
$A^d(\overline{\mathcal{M}}_{0,n},\mathbb{Q})$ spanned by pullbacks of
$\kappa_d$ via forgetful maps. We find a permutation basis for
$\mathcal{K}^{d}_{n}$, and describe its annihilator under the intersection
pairing in terms of $d$-dimensional boundary strata. As an application, we give
a new permutation basis of the divisor class group of
$\overline{\mathcal{M}}_{0,n}$.

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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph