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The reduced genus $1$ Gromov-Witten invariants of Calabi-Yau hypersurfaces

The reduced genus $1$ Gromov-Witten invariants of Calabi-Yau hypersurfaces

We compute the reduced genus 1 Gromov-Witten invariants of Calabi-Yau hypersurfaces. As a consequence, we confirm the 1993 Bershadsky-Cecotti-Ooguri-Vafa (BCOV) prediction for the standard genus 1 GW-invariants of a quintic threefold. We combine constructions from a series of previous papers with the classical localization theorem to relate the reduced genus …