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Carlo Beenakker
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There are connections to string theory, as discussed in this 2011 conference. The correspondence is explained in Open Strings and Extended Mirror Symmetry, Johannes Walcher (2007): The Gromov-Witten theory of a Calabi-Yau manifold $X$ is solved by the Hodge theory of its mirror symmetric manifold $Y$.

Carlo Beenakker
  • 188.3k
  • 18
  • 448
  • 651