Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the motivic stable pairs invariants of K3 surfaces   For a K3 surface S, we study motivic invariants of stable pairs moduli spaces
associated to 3-fold thickenings of S. We conjecture suitable deformation and
divisibility invariances for the Betti realization. Our conjectures, together
with earlier calculations of Kawai-Yoshioka, imply a full determination of the
theory in terms of the Hodge numbers of the Hilbert schemes of points of S. The
work may be viewed as the third in a sequence of formulas starting with
Yau-Zaslow and Katz-Klemm-Vafa (each recovering the former). Numerical data
suggest the motivic invariants are linked to the Mathieu M_24 moonshine
phenomena.
  The KKV formula and the Pairs/Noether-Lefschetz correspondence together
determine the BPS counts of K3-fibered Calabi-Yau 3-folds in fiber classes in
terms of modular forms. We propose a framework for a refined P/NL
correspondence for the motivic invariants of K3-fibered CY 3-folds. For the STU
model, a complete conjecture is presented.

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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat