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- W3100416680 abstract "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." @default.
- W3100416680 created "2020-11-23" @default.
- W3100416680 creator A5023079329 @default.
- W3100416680 creator A5037647059 @default.
- W3100416680 creator A5044012020 @default.
- W3100416680 date "2021-07-04" @default.
- W3100416680 modified "2023-09-23" @default.
- W3100416680 title "STABLE MAPS TO LOOIJENGA PAIRS" @default.
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