Hodge-Gromov-Witten theory
Algebraic Geometry
2026-03-06 v3
Abstract
We determine the all-genus Hodge-Gromov-Witten theory of a smooth hypersurface in weighted projective space defined by a chain or loop polynomial. In particular, we obtain the first genus-zero computation of Gromov-Witten invariants for hypersurfaces in non-Gorenstein ambiant spaces, where the convexity property fails. We extend it to any weighted projective hypersurface defined by an invertible polynomial.
Cite
@article{arxiv.1908.11409,
title = {Hodge-Gromov-Witten theory},
author = {Jérémy Guéré},
journal= {arXiv preprint arXiv:1908.11409},
year = {2026}
}