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Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces

  • Masao Jinzenji,
  • Ken Kuwata

摘要

In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism occurs, resulting in an alternative representation of the BCOV-Zinger formula for projective Calabi-Yau hypersurfaces.