Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds   We study Hilbert schemes of points on a smooth projective Calabi-Yau 4-fold
$X$. We define $\mathrm{DT}_4$ invariants by integrating the Euler class of a
tautological vector bundle $L^{[n]}$ against the virtual class. We conjecture a
formula for their generating series, which we prove in certain cases when $L$
corresponds to a smooth divisor on $X$. A parallel equivariant conjecture for
toric Calabi-Yau 4-folds is proposed. This conjecture is proved for smooth
toric divisors and verified for more general toric divisors in many examples.
  Combining the equivariant conjecture with a vertex calculation, we find
explicit positive rational weights, which can be assigned to solid partitions.
The weighted generating function of solid partitions is given by
$\exp(M(q)-1)$, where $M(q)$ denotes the MacMahon function.

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The categories of this paper are: funct-an
18
The categories of this paper are: econ
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The categories of this paper are: solv-int
9
The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom