Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable maps to Looijenga pairs   A log Calabi-Yau surface with maximal boundary, or Looijenga pair, is a pair
$(Y,D)$ with $Y$ a smooth rational projective complex surface and $D=D_1+\dots
+ D_l \in |-K_Y|$ an anticanonical singular nodal curve. Under some positivity
conditions on the pair, we propose a series of correspondences relating five
different classes of enumerative invariants attached to $(Y,D)$:
  1) the log Gromov-Witten theory of the pair $(Y,D)$,
  2) the Gromov-Witten theory of the total space of $\bigoplus_i
\mathcal{O}_Y(-D_i)$,
  3) the open Gromov-Witten theory of special Lagrangians in a Calabi-Yau
3-fold determined by $(Y,D)$,
  4) the Donaldson-Thomas theory of a symmetric quiver specified by $(Y,D)$,
and
  5) a class of BPS invariants considered in different contexts by
Klemm-Pandharipande, Ionel-Parker, and Labastida-Marino-Ooguri-Vafa.
  We furthermore provide a complete closed-form solution to the calculation of
all these invariants.

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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat