Key points are not available for this paper at this time.
We show that two natural cycle classes on the moduli space of compact type stable maps to a varying elliptic curve agree. The first is the virtual fundamental class from Gromov-Witten theory, and the second is the Torelli pullback of the special cycle on Ag of principally polarized abelian varieties admitting an elliptic isogeny factor.
Greer et al. (2024) studied this question.