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arXiv · 2203.08091

On Genus 1 Gromov-Witten invariants of Fano complete intersections

Xiaowen Hu
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Abstract

We study genus 1 Gromov-Witten invariants of Fano complete intersections in the projective spaces. Among other things, we show a reconstruction theorem for genus 1 invariants with only ambient insertions, and compute the genus 1 invariants with 1 marked point. For cubic hypersurfaces of dimension $\neq 4$ and odd dimensional intersections of two quadrics, we obtain a complete reconstruction theorem for genus 1 Gromov-Witten invariants.

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Xiaowen Hu. 2022-03-15. On Genus 1 Gromov-Witten invariants of Fano complete intersections. https://arxiv.org/abs/2203.08091

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