Given a log Calabi-Yau pair (X,D), consisting of a smooth projective variety X together with a normal crossings anti-canonical divisor D, we first provide a combinatorial algorithm for solving the enumerative problem of computing rational stable maps to (X,D) touching D at a single point. We then explain how to use the solution to write explicit equations for mirrors to such pairs at
arbitrary dimensions.
Part of this is joint work with Mark Gross.
This video is part of the 3CinG annual meeting that took place in Warwick in September 2021.
